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34272741552 = 2437672236827
BaseRepresentation
bin11111111010110100…
…001000100010110000
310021110112012122220020
4133322310020202300
51030142310212202
623424503443440
72322211332210
oct377264104260
9107415178806
1034272741552
1113598083aa5
126785a56580
13330265c43a
141931ab8240
15d58cc65bc
hex7fad088b0

34272741552 has 160 divisors (see below), whose sum is σ = 103172063232. Its totient is φ = 9601396992.

The previous prime is 34272741493. The next prime is 34272741563. The reversal of 34272741552 is 25514727243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5016763 + ... + 5023589.

Almost surely, 234272741552 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 34272741552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51586031616).

34272741552 is an abundant number, since it is smaller than the sum of its proper divisors (68899321680).

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

34272741552 is a wasteful number, since it uses less digits than its factorization.

34272741552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7129 counting only the distinct ones).

The product of its digits is 470400, while the sum is 42.

The spelling of 34272741552 in words is "thirty-four billion, two hundred seventy-two million, seven hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 223 268 336 402 446 469 536 669 804 892 938 1072 1338 1407 1561 1608 1784 1876 2676 2814 3122 3216 3568 3752 4683 5352 5628 6244 6827 7504 9366 10704 11256 12488 13654 14941 18732 20481 22512 24976 27308 29882 37464 40962 44823 47789 54616 59764 74928 81924 89646 95578 104587 109232 119528 143367 163848 179292 191156 209174 239056 286734 313761 327696 358584 382312 418348 457409 573468 627522 717168 764624 836696 914818 1146936 1255044 1372227 1522421 1673392 1829636 2293872 2510088 2744454 3044842 3201863 3659272 4567263 5020176 5488908 6089684 6403726 7318544 9134526 9605589 10656947 10977816 12179368 12807452 18269052 19211178 21313894 21955632 24358736 25614904 31970841 36538104 38422356 42627788 51229808 63941682 73076208 76844712 85255576 102002207 127883364 153689424 170511152 204004414 255766728 306006621 408008828 511533456 612013242 714015449 816017656 1224026484 1428030898 1632035312 2142046347 2448052968 2856061796 4284092694 4896105936 5712123592 8568185388 11424247184 17136370776 34272741552