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252416926552 = 23723723972817
BaseRepresentation
bin1110101100010100111…
…0001010001101011000
3220010112100222110001111
43223011032022031120
513113422213122202
6311543030430104
724144061321600
oct3530516121530
9803470873044
10252416926552
119805a857a0a
1240b05b02334
131aa58a2304b
14c3077d9c00
1568750d56d7
hex3ac538a358

252416926552 has 96 divisors (see below), whose sum is σ = 567805636800. Its totient is φ = 104813097984.

The previous prime is 252416926549. The next prime is 252416926561. The reversal of 252416926552 is 255629614252.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 252416926496 and 252416926505.

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, 3430048 + ... + 3502864.

It is an arithmetic number, because the mean of its divisors is an integer number (5914642050).

Almost surely, 2252416926552 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 252416926552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283902818400).

252416926552 is an abundant number, since it is smaller than the sum of its proper divisors (315388710248).

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

252416926552 is a wasteful number, since it uses less digits than its factorization.

252416926552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73113 (or 73102 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

The spelling of 252416926552 in words is "two hundred fifty-two billion, four hundred sixteen million, nine hundred twenty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 239 259 296 392 478 518 956 1036 1673 1813 1912 2072 3346 3626 6692 7252 8843 11711 13384 14504 17686 23422 35372 46844 61901 70744 72817 93688 123802 145634 247604 291268 433307 495208 509719 582536 866614 1019438 1733228 2038876 2694229 3466456 3568033 4077752 5388458 7136066 10776916 14272132 17403263 18859603 21553832 28544264 34806526 37719206 69613052 75438412 121822841 132017221 139226104 150876824 243645682 264034442 487291364 528068884 643920731 852759887 974582728 1056137768 1287841462 1705519774 2575682924 3411039548 4507445117 5151365848 6822079096 9014890234 18029780468 31552115819 36059560936 63104231638 126208463276 252416926552