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31384451538 = 23311438231493
BaseRepresentation
bin11101001110101010…
…001011100111010010
310000000020101022212000
4131032222023213102
51003233404422123
622230125414430
72160510302466
oct351652134722
9100006338760
1031384451538
1112345782a60
1260ba70a416
132c6215b6ab
14173a2704a6
15c3a44bb43
hex74ea8b9d2

31384451538 has 128 divisors (see below), whose sum is σ = 77999708160. Its totient is φ = 9271765440.

The previous prime is 31384451479. The next prime is 31384451569. The reversal of 31384451538 is 83515448313.

It is a happy number.

31384451538 is a `hidden beast` number, since 31 + 3 + 84 + 4 + 5 + 1 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31384451493 and 31384451502.

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 63 ways as a sum of consecutive naturals, for example, 21020320 + ... + 21021812.

It is an arithmetic number, because the mean of its divisors is an integer number (609372720).

Almost surely, 231384451538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31384451538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999854080).

31384451538 is an abundant number, since it is smaller than the sum of its proper divisors (46615256622).

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

31384451538 is a wasteful number, since it uses less digits than its factorization.

31384451538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2375 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 31384451538 in words is "thirty-one billion, three hundred eighty-four million, four hundred fifty-one thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 823 946 1161 1419 1493 1646 2322 2469 2838 2986 4257 4479 4938 7407 8514 8958 9053 12771 13437 14814 16423 18106 22221 25542 26874 27159 32846 35389 40311 44442 49269 54318 64199 70778 80622 81477 98538 106167 128398 147807 162954 192597 212334 244431 295614 318501 385194 389279 443421 488862 577791 637002 706189 778558 886842 955503 1155582 1167837 1228739 1412378 1733373 1911006 2118567 2335674 2457478 3466746 3503511 3686217 4237134 6355701 7007022 7372434 10510533 11058651 12711402 13516129 19067103 21021066 22117302 27032258 33175953 38134206 40548387 52835777 66351906 81096774 105671554 121645161 158507331 243290322 317014662 364935483 475521993 581193547 729870966 951043986 1162387094 1426565979 1743580641 2853131958 3487161282 5230741923 10461483846 15692225769 31384451538