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952700932096 = 21210121512
BaseRepresentation
bin11011101110100010110…
…01101001000000000000
310101002002100212211011021
431313101121221000000
5111102112414311341
62005355331155224
7125554550210614
oct15672131510000
93332070784137
10952700932096
11338046926131
12134781745b14
136babac7a8b4
143417a70d344
1519bae08c9d1
hexddd1669000

952700932096 has 117 divisors (see below), whose sum is σ = 1937046660969. Its totient is φ = 468510720000.

The previous prime is 952700932067. The next prime is 952700932097. The reversal of 952700932096 is 690239007259.

The square root of 952700932096 is 976064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 915343773696 + 37357158400 = 956736^2 + 193280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (952700932097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6309277621 + ... + 6309277771.

Almost surely, 2952700932096 is an apocalyptic number.

952700932096 is the 976064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952700932096

952700932096 is an abundant number, since it is smaller than the sum of its proper divisors (984345728873).

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

952700932096 is an frugal number, since it uses more digits than its factorization.

952700932096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 952700932096 in words is "nine hundred fifty-two billion, seven hundred million, nine hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 101 128 151 202 256 302 404 512 604 808 1024 1208 1616 2048 2416 3232 4096 4832 6464 9664 10201 12928 15251 19328 20402 22801 25856 30502 38656 40804 45602 51712 61004 77312 81608 91204 103424 122008 154624 163216 182408 206848 244016 309248 326432 364816 413696 488032 618496 652864 729632 976064 1305728 1459264 1540351 1952128 2302901 2611456 2918528 3080702 3904256 4605802 5222912 5837056 6161404 7808512 9211604 10445824 11674112 12322808 15617024 18423208 20891648 23348224 24645616 31234048 36846416 41783296 46696448 49291232 62468096 73692832 93392896 98582464 147385664 197164928 232593001 294771328 394329856 465186002 589542656 788659712 930372004 1179085312 1577319424 1860744008 2358170624 3154638848 3721488016 4716341248 6309277696 7442976032 9432682496 14885952064 29771904128 59543808256 119087616512 238175233024 476350466048 952700932096