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21250641434456 = 2374371317392101
BaseRepresentation
bin1001101010011110011001…
…11011110001011101011000
32210020112121201222000220202
410311033030323301131120
510241132303201400311
6113110224312241332
74322210463560660
oct465171473613530
983215551860822
1021250641434456
11685338a0a53a5
1224726249a0248
13bb1c084b3775
145367723671a0
1526cba08bae3b
hex1353ccef1758

21250641434456 has 128 divisors (see below), whose sum is σ = 47401555829760. Its totient is φ = 8742638016000.

The previous prime is 21250641434447. The next prime is 21250641434471. The reversal of 21250641434456 is 65443414605212.

It is a super-2 number, since 2×212506414344562 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21250641434456.

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, 54000806 + ... + 54392906.

It is an arithmetic number, because the mean of its divisors is an integer number (370324654920).

Almost surely, 221250641434456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21250641434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700777914880).

21250641434456 is an abundant number, since it is smaller than the sum of its proper divisors (26150914395304).

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

21250641434456 is a wasteful number, since it uses less digits than its factorization.

21250641434456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392545 (or 392541 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 47.

The spelling of 21250641434456 in words is "twenty-one trillion, two hundred fifty billion, six hundred forty-one million, four hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 43 56 71 86 142 172 284 301 317 344 497 568 602 634 994 1204 1268 1988 2219 2408 2536 3053 3976 4438 6106 8876 12212 13631 17752 21371 22507 24424 27262 42742 45014 54524 85484 90028 95417 109048 157549 170968 180056 190834 315098 381668 392101 630196 763336 784202 967801 1260392 1568404 1935602 2744707 3136808 3871204 5489414 6774607 7742408 10978828 13549214 16860343 21957656 27098428 27839171 33720686 54196856 55678342 67441372 111356684 118022401 124296017 134882744 194874197 222713368 236044802 248592034 389748394 472089604 497184068 779496788 870072119 944179208 994368136 1197084353 1558993576 1740144238 2394168706 3480288476 4788337412 5344728731 6960576952 8379590471 8825017207 9576674824 10689457462 16759180942 17650034414 21378914924 33518361884 35300068828 37413101117 42757829848 61775120449 67036723768 70600137656 74826202234 123550240898 149652404468 247100481796 299304808936 379475739901 494200963592 758951479802 1517902959604 2656330179307 3035805919208 5312660358614 10625320717228 21250641434456