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3781381536 = 253317257447
BaseRepresentation
bin1110000101100011…
…0100110110100000
3100202112100002022000
43201120310312200
530221013202121
61423120044000
7162464132652
oct34130646640
910675302260
103781381536
111670544a09
12896463600
13483548a8a
1427c2c66d2
15171e8e526
hexe1634da0

3781381536 has 96 divisors (see below), whose sum is σ = 11677841280. Its totient is φ = 1186311168.

The previous prime is 3781381523. The next prime is 3781381547. The reversal of 3781381536 is 6351831873.

3781381536 is a `hidden beast` number, since 3 + 7 + 81 + 38 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3781381491 and 3781381500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114036 + ... + 143411.

It is an arithmetic number, because the mean of its divisors is an integer number (121644180).

Almost surely, 23781381536 is an apocalyptic number.

3781381536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3781381536 is an abundant number, since it is smaller than the sum of its proper divisors (7896459744).

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

3781381536 is a wasteful number, since it uses less digits than its factorization.

3781381536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257483 (or 257469 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3781381536 is about 61492.9389117157. The cubic root of 3781381536 is about 1557.9379856812.

The spelling of 3781381536 in words is "three billion, seven hundred eighty-one million, three hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 257447 514894 772341 1029788 1544682 2059576 2317023 3089364 4119152 4376599 4634046 6178728 6951069 8238304 8753198 9268092 12357456 13129797 13902138 17506396 18536184 24714912 26259594 27804276 35012792 37072368 39389391 52519188 55608552 70025584 74144736 78778782 105038376 111217104 118168173 140051168 157557564 210076752 222434208 236336346 315115128 420153504 472672692 630230256 945345384 1260460512 1890690768 3781381536