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3125064674368 = 267131277420191
BaseRepresentation
bin101101011110011100010…
…111101010110001000000
3102001202100010112000001201
4231132130113222301000
5402200113024034433
610351345045310544
7441531005310010
oct55363427526100
912052303460051
103125064674368
11aa53725a169a
124257a9a05454
1319890009b5c0
14ab37ab37c40
1556454178a7d
hex2d79c5eac40

3125064674368 has 112 divisors (see below), whose sum is σ = 7638364468224. Its totient is φ = 1235318261760.

The previous prime is 3125064674357. The next prime is 3125064674371. The reversal of 3125064674368 is 8634764605213.

It is a happy number.

3125064674368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7227153 + ... + 7647343.

It is an arithmetic number, because the mean of its divisors is an integer number (68199682752).

Almost surely, 23125064674368 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 3125064674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819182234112).

3125064674368 is an abundant number, since it is smaller than the sum of its proper divisors (4513299793856).

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

3125064674368 is a wasteful number, since it uses less digits than its factorization.

3125064674368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421500 (or 421490 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 3125064674368 in words is "three trillion, one hundred twenty-five billion, sixty-four million, six hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1277 1456 2554 2912 5108 5824 8939 10216 16601 17878 20432 33202 35756 40864 66404 71512 81728 116207 132808 143024 232414 265616 286048 420191 464828 531232 572096 840382 929656 1062464 1680764 1859312 2941337 3361528 3718624 5462483 5882674 6723056 7437248 10924966 11765348 13446112 21849932 23530696 26892224 38237381 43699864 47061392 76474762 87399728 94122784 152949524 174799456 188245568 305899048 349598912 536583907 611798096 1073167814 1223596192 2146335628 2447192384 3756087349 4292671256 6975590791 7512174698 8585342512 13951181582 15024349396 17170685024 27902363164 30048698792 34341370048 48829135537 55804726328 60097397584 97658271074 111609452656 120194795168 195316542148 223218905312 240389590336 390633084296 446437810624 781266168592 1562532337184 3125064674368