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38702146044704 = 258917378550501
BaseRepresentation
bin10001100110011000010111…
…01010101100001100100000
312002000220000002201220222112
420303030023222230030200
520033043443341412304
6214151304225454452
711103065154331202
oct1063141352541440
9162026002656875
1038702146044704
111137154053004a
12441089a4a1428
13187979ac9017c
1497b29dd64772
15471ae9406b6e
hex23330baac320

38702146044704 has 48 divisors (see below), whose sum is σ = 77496354263160. Its totient is φ = 19023045888000.

The previous prime is 38702146044649. The next prime is 38702146044743. The reversal of 38702146044704 is 40744064120783.

It can be written as a sum of positive squares in 4 ways, for example, as 33956492928400 + 4745653116304 = 5827220^2 + 2178452^2 .

It is a super-2 number, since 2×387021460447042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38782547 + ... + 39767954.

Almost surely, 238702146044704 is an apocalyptic number.

It is an amenable number.

38702146044704 is an abundant number, since it is smaller than the sum of its proper divisors (38794208218456).

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

38702146044704 is a wasteful number, since it uses less digits than its factorization.

38702146044704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78550773 (or 78550765 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 50.

The spelling of 38702146044704 in words is "thirty-eight trillion, seven hundred two billion, one hundred forty-six million, forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 89 173 178 346 356 692 712 1384 1424 2768 2848 5536 15397 30794 61588 123176 246352 492704 78550501 157101002 314202004 628404008 1256808016 2513616032 6990994589 13589236673 13981989178 27178473346 27963978356 54356946692 55927956712 108713893384 111855913424 217427786768 223711826848 434855573536 1209442063897 2418884127794 4837768255588 9675536511176 19351073022352 38702146044704