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34070667074028 = 2232131032572750201
BaseRepresentation
bin1111011111100101100100…
…00000100001100111101100
311110122010100100221202211100
413233302302000201213230
513431203211232332103
6200243503125523100
710114344614540244
oct757626200414754
9143563310852740
1034070667074028
11a94631a385342
1239a3159573490
131601b08933990
1485b059b48b24
153e13c9c115a3
hex1efcb20219ec

34070667074028 has 144 divisors (see below), whose sum is σ = 94012817161536. Its totient is φ = 10341104025600.

The previous prime is 34070667074023. The next prime is 34070667074051. The reversal of 34070667074028 is 82047076607043.

34070667074028 is a `hidden beast` number, since 3 + 40 + 70 + 66 + 70 + 7 + 402 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34070667074023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11013328 + ... + 13763528.

It is an arithmetic number, because the mean of its divisors is an integer number (652866785844).

Almost surely, 234070667074028 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 34070667074028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47006408580768).

34070667074028 is an abundant number, since it is smaller than the sum of its proper divisors (59942150087508).

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

34070667074028 is a wasteful number, since it uses less digits than its factorization.

34070667074028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750584 (or 2750579 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 34070667074028 in words is "thirty-four trillion, seventy billion, six hundred sixty-seven million, seventy-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 257 309 412 468 514 618 771 927 1028 1236 1339 1542 1854 2313 2678 3084 3341 3708 4017 4626 5356 6682 8034 9252 10023 12051 13364 16068 20046 24102 26471 30069 40092 48204 52942 60138 79413 105884 120276 158826 238239 317652 344123 476478 688246 952956 1032369 1376492 2064738 2750201 3097107 4129476 5500402 6194214 8250603 11000804 12388428 16501206 24751809 33002412 35752613 49503618 71505226 99007236 107257839 143010452 214515678 283270703 321773517 429031356 566541406 643547034 706801657 849812109 1133082812 1287094068 1413603314 1699624218 2120404971 2549436327 2827206628 3399248436 3682519139 4240809942 5098872654 6361214913 7365038278 8481619884 9188421541 10197745308 11047557417 12722429826 14730076556 18376843082 22095114834 25444859652 27565264623 33142672251 36753686164 44190229668 55130529246 66285344502 72800570671 82695793869 110261058492 132570689004 145601141342 165391587738 218401712013 291202282684 330783175476 436803424026 655205136039 873606848052 946407418723 1310410272078 1892814837446 2620820544156 2839222256169 3785629674892 5678444512338 8517666768507 11356889024676 17035333537014 34070667074028