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631819540740432 = 2431171101166870439
BaseRepresentation
bin1000111110101000101111001…
…1010010011011100101010000
310001212002100200010111120020010
42033222023303102123211100
51130303212404412143212
610115433520124314520
7250040312134031232
oct21752136322334520
93055070603446203
10631819540740432
11173354187279140
125aa42a399a2a40
1321171433679475
14b20432c2c0252
154d0a12229e03c
hex23ea2f349b950

631819540740432 has 160 divisors (see below), whose sum is σ = 1823538808903680. Its totient is φ = 186894890560000.

The previous prime is 631819540740403. The next prime is 631819540740511. The reversal of 631819540740432 is 234047045918136.

631819540740432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6318195407404322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79648932 + ... + 87221507.

It is an arithmetic number, because the mean of its divisors is an integer number (11397117555648).

It is a 1-persistent number, because it is pandigital, but 2⋅631819540740432 = 1263639081480864 is not.

Almost surely, 2631819540740432 is an apocalyptic number.

It is an amenable number.

631819540740432 is an abundant number, since it is smaller than the sum of its proper divisors (1191719268163248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

631819540740432 is a wasteful number, since it uses less digits than its factorization.

631819540740432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166870633 (or 166870627 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 631819540740432 in words is "six hundred thirty-one trillion, eight hundred nineteen billion, five hundred forty million, seven hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 101 132 142 176 202 213 264 284 303 404 426 528 568 606 781 808 852 1111 1136 1212 1562 1616 1704 2222 2343 2424 3124 3333 3408 4444 4686 4848 6248 6666 7171 8888 9372 12496 13332 14342 17776 18744 21513 26664 28684 37488 43026 53328 57368 78881 86052 114736 157762 172104 236643 315524 344208 473286 631048 946572 1262096 1893144 3786288 166870439 333740878 500611317 667481756 1001222634 1334963512 1835574829 2002445268 2669927024 3671149658 4004890536 5506724487 7342299316 8009781072 11013448974 11847801169 14684598632 16853914339 22026897948 23695602338 29369197264 33707828678 35543403507 44053795896 47391204676 50561743017 67415657356 71086807014 88107591792 94782409352 101123486034 130325812859 134831314712 142173614028 185393057729 189564818704 202246972068 260651625718 269662629424 284347228056 370786115458 390977438577 404493944136 521303251436 556179173187 568694456112 741572230916 781954877154 808987888272 1042606502872 1112358346374 1196627918069 1483144461832 1563909754308 2085213005744 2224716692748 2393255836138 2966288923664 3127819508616 3589883754207 4449433385496 4786511672276 6255639017232 7179767508414 8898866770992 9573023344552 13162907098759 14359535016828 19146046689104 26325814197518 28719070033656 39488721296277 52651628395036 57438140067312 78977442592554 105303256790072 157954885185108 210606513580144 315909770370216 631819540740432