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34531133504 = 267229336587
BaseRepresentation
bin100000001010001101…
…110100100001000000
310022010112102100000112
4200022031310201000
51031204432233004
623510254010452
72331466535420
oct401215644100
9108115370015
1034531133504
111370aa1976a
1268384a6a28
13334404c79a
14195813a480
15d71816e6e
hex80a374840

34531133504 has 56 divisors (see below), whose sum is σ = 78653883840. Its totient is φ = 14734388736.

The previous prime is 34531133477. The next prime is 34531133557. The reversal of 34531133504 is 40533113543.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65702 + ... + 270885.

It is an arithmetic number, because the mean of its divisors is an integer number (1404533640).

Almost surely, 234531133504 is an apocalyptic number.

It is an amenable number.

34531133504 is an abundant number, since it is smaller than the sum of its proper divisors (44122750336).

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

34531133504 is a wasteful number, since it uses less digits than its factorization.

34531133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336835 (or 336825 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 34531133504 in words is "thirty-four billion, five hundred thirty-one million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 229 448 458 916 1603 1832 3206 3664 6412 7328 12824 14656 25648 51296 102592 336587 673174 1346348 2356109 2692696 4712218 5385392 9424436 10770784 18848872 21541568 37697744 75395488 77078423 150790976 154156846 308313692 539548961 616627384 1079097922 1233254768 2158195844 2466509536 4316391688 4933019072 8632783376 17265566752 34531133504