Search a number
-
+
1350612435552 = 25310113128117
BaseRepresentation
bin10011101001110110110…
…001100100001001100000
311210010011111120120111020
4103221312301210021200
5134112023240414202
62512243543445440
7166402302165462
oct23516661441140
94703144516436
101350612435552
11480878567126
12199911456880
139a4929c8063
144952737c132
15251ec4425bc
hex13a76c64260

1350612435552 has 144 divisors (see below), whose sum is σ = 3608445090096. Its totient is φ = 442289536000.

The previous prime is 1350612435533. The next prime is 1350612435619. The reversal of 1350612435552 is 2555342160531.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166388998 + ... + 166397114.

It is an arithmetic number, because the mean of its divisors is an integer number (25058646459).

Almost surely, 21350612435552 is an apocalyptic number.

1350612435552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350612435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804222545048).

1350612435552 is an abundant number, since it is smaller than the sum of its proper divisors (2257832654544).

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

1350612435552 is a wasteful number, since it uses less digits than its factorization.

1350612435552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 1350612435552 in words is "one trillion, three hundred fifty billion, six hundred twelve million, four hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 131 202 262 303 393 404 524 606 786 808 1048 1212 1572 1616 2096 2424 3144 3232 4192 4848 6288 8117 9696 12576 13231 16234 17161 24351 26462 32468 34322 39693 48702 51483 52924 64936 68644 79386 97404 102966 105848 129872 137288 158772 194808 205932 211696 259744 274576 317544 389616 411864 423392 549152 635088 779232 819817 823728 1063327 1270176 1639634 1647456 1733261 2126654 2459451 3189981 3279268 3466522 4253308 4918902 5199783 6379962 6558536 6933044 8506616 9837804 10399566 12759924 13117072 13866088 17013232 19675608 20799132 25519848 26234144 27732176 34026464 39351216 41598264 51039696 55464352 78702432 83196528 102079392 107396027 139295837 166393056 214792054 278591674 322188081 417887511 429584108 557183348 644376162 835775022 859168216 1114366696 1288752324 1671550044 1718336432 2228733392 2577504648 3343100088 3436672864 4457466784 5155009296 6686200176 10310018592 13372400352 14068879537 28137759074 42206638611 56275518148 84413277222 112551036296 168826554444 225102072592 337653108888 450204145184 675306217776 1350612435552