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355116771372 = 2231119160988001
BaseRepresentation
bin1010010101011101001…
…10111110100000101100
31020221121200212010010210
411022232212332200230
521304234343140442
6431045520502420
734441060516026
oct5125646764054
91227550763123
10355116771372
11127671183420
12589a7a7aa10
13276449936ac
141328b24d016
15938637419c
hex52ae9be82c

355116771372 has 96 divisors (see below), whose sum is σ = 952111238400. Its totient is φ = 101882880000.

The previous prime is 355116771343. The next prime is 355116771397. The reversal of 355116771372 is 273177611553.

It is a super-2 number, since 2×3551167713722 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3991372 + ... + 4079372.

It is an arithmetic number, because the mean of its divisors is an integer number (9917825400).

Almost surely, 2355116771372 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 355116771372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476055619200).

355116771372 is an abundant number, since it is smaller than the sum of its proper divisors (596994467028).

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

355116771372 is a wasteful number, since it uses less digits than its factorization.

355116771372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89647 (or 89645 counting only the distinct ones).

The product of its digits is 926100, while the sum is 48.

The spelling of 355116771372 in words is "three hundred fifty-five billion, one hundred sixteen million, seven hundred seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1609 2508 3218 4827 6436 9654 17699 19308 30571 35398 53097 61142 70796 88001 91713 106194 122284 176002 183426 212388 264003 336281 352004 366852 528006 672562 968011 1008843 1056012 1345124 1672019 1936022 2017686 2904033 3344038 3872044 4035372 5016057 5808066 6688076 10032114 11616132 18392209 20064228 36784418 55176627 73568836 110353254 141593609 220706508 283187218 424780827 566374436 849561654 1557529699 1699123308 2690278571 3115059398 4672589097 5380557142 6230118796 8070835713 9345178194 10761114284 16141671426 18690356388 29593064281 32283342852 59186128562 88779192843 118372257124 177558385686 355116771372