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1381674034656 = 25329643497509
BaseRepresentation
bin10100000110110010001…
…100001010010111100000
311220002100020110022001200
4110012302030022113200
5140114132023102111
62534422101401200
7201552112342446
oct24066214122740
94802306408050
101381674034656
11492a67a77293
121a393ba09200
13a03a2cb70b6
144ac327aab96
1525e19369256
hex141b230a5e0

1381674034656 has 72 divisors (see below), whose sum is σ = 3929550894360. Its totient is φ = 460509325056.

The previous prime is 1381674034651. The next prime is 1381674034667. The reversal of 1381674034656 is 6564304761831.

1381674034656 is a `hidden beast` number, since 1 + 3 + 81 + 67 + 40 + 3 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381674034651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2528430 + ... + 3025938.

It is an arithmetic number, because the mean of its divisors is an integer number (54577095755).

Almost surely, 21381674034656 is an apocalyptic number.

1381674034656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1381674034656 is an abundant number, since it is smaller than the sum of its proper divisors (2547876859704).

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

1381674034656 is a wasteful number, since it uses less digits than its factorization.

1381674034656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507168 (or 507157 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1381674034656 in words is "one trillion, three hundred eighty-one billion, six hundred seventy-four million, thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9643 19286 28929 38572 57858 77144 86787 115716 154288 173574 231432 308576 347148 462864 497509 694296 925728 995018 1388592 1492527 1990036 2777184 2985054 3980072 4477581 5970108 7960144 8955162 11940216 15920288 17910324 23880432 35820648 47760864 71641296 143282592 4797479287 9594958574 14392437861 19189917148 28784875722 38379834296 43177313583 57569751444 76759668592 86354627166 115139502888 153519337184 172709254332 230279005776 345418508664 460558011552 690837017328 1381674034656