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2951235383056 = 242327122632
BaseRepresentation
bin101010111100100011010…
…101100010111100010000
3101110010122200001001210021
4222330203111202330100
5341323112224224211
610135440120313224
7423135235565152
oct52744325427420
911403580031707
102951235383056
11a38680487264
123b7b76912814
131853b99c288c
14a2baa6a6ad2
1551b7d578771
hex2af23562f10

2951235383056 has 135 divisors (see below), whose sum is σ = 6085952355847. Its totient is φ = 1386289495360.

The previous prime is 2951235383023. The next prime is 2951235383149. The reversal of 2951235383056 is 6503835321592.

The square root of 2951235383056 is 1717916.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2951235382994 and 2951235383012.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11221427181 + ... + 11221427443.

Almost surely, 22951235383056 is an apocalyptic number.

2951235383056 is the 1717916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2951235383056

2951235383056 is an abundant number, since it is smaller than the sum of its proper divisors (3134716972791).

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

2951235383056 is an frugal number, since it uses more digits than its factorization.

2951235383056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 52.

The spelling of 2951235383056 in words is "two trillion, nine hundred fifty-one billion, two hundred thirty-five million, three hundred eighty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 263 284 368 526 529 568 1052 1058 1136 1633 2104 2116 3266 4208 4232 5041 6049 6532 8464 10082 12098 13064 18673 20164 24196 26128 37346 37559 40328 48392 69169 74692 75118 80656 96784 115943 138338 139127 149384 150236 231886 276676 278254 298768 300472 429479 463772 553352 556508 600944 858958 927544 1106704 1113016 1325783 1590887 1717916 1855088 2226032 2651566 2666689 3181774 3435832 4910999 5303132 5333378 6363548 6871664 9821998 9878017 10606264 10666756 12727096 19643996 19756034 21212528 21333512 25454192 30493009 36590401 39287992 39512068 42667024 60986018 73180802 78575984 79024136 112952977 121972036 146361604 158048272 225905954 243944072 292723208 348680929 451811908 487888144 585446416 697361858 701339207 903623816 1394723716 1402678414 1807247632 2597918471 2789447432 2805356828 5195836942 5578894864 5610713656 8019661367 10391673884 11221427312 16039322734 20783347768 32078645468 41566695536 64157290936 128314581872 184452211441 368904422882 737808845764 1475617691528 2951235383056