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35134015332 = 22313232439901
BaseRepresentation
bin100000101110001001…
…101000011101100100
310100200112211220102010
4200232021220131210
51033423301442312
624050151514220
72352440126403
oct405611503544
9110615756363
1035134015332
111399a265809
126986388970
13340bc16cb0
1419b423363a
15da970393c
hex82e268764

35134015332 has 144 divisors (see below), whose sum is σ = 94446701888. Its totient is φ = 10098950400.

The previous prime is 35134015283. The next prime is 35134015337. The reversal of 35134015332 is 23351043153.

It is a super-2 number, since 2×351340153322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35134015332.

It is not an unprimeable number, because it can be changed into a prime (35134015337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3543582 + ... + 3553482.

Almost surely, 235134015332 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 35134015332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223350944).

35134015332 is an abundant number, since it is smaller than the sum of its proper divisors (59312686556).

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

35134015332 is a wasteful number, since it uses less digits than its factorization.

35134015332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 35134015332 its reverse (23351043153), we get a palindrome (58485058485).

The spelling of 35134015332 in words is "thirty-five billion, one hundred thirty-four million, fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 43 46 52 69 78 86 92 129 138 156 172 258 276 299 516 529 559 598 897 989 1058 1118 1196 1587 1677 1794 1978 2116 2236 2967 3174 3354 3588 3956 5934 6348 6708 6877 9901 11868 12857 13754 19802 20631 22747 25714 27508 29703 38571 39604 41262 45494 51428 59406 68241 77142 82524 90988 118812 128713 136482 154284 227723 257426 272964 295711 386139 425743 455446 514852 591422 683169 772278 851486 887133 910892 1182844 1277229 1366338 1544556 1702972 1774266 2554458 2732676 2960399 3548532 5108916 5237629 5534659 5920798 8881197 9792089 10475258 11069318 11841596 15712887 16603977 17762394 19584178 20950516 22138636 29376267 31425774 33207954 35524788 39168356 58752534 62851548 66415908 68089177 117505068 127297157 136178354 204267531 225218047 254594314 272356708 381891471 408535062 450436094 509188628 675654141 763782942 817070124 900872188 1351308282 1527565884 2702616564 2927834611 5855669222 8783503833 11711338444 17567007666 35134015332