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133982315296752 = 243131297165547609
BaseRepresentation
bin11110011101101100110000…
…010011110011011111110000
3122120101120202220210222111210
4132131230300103303133300
5120030131240203444002
61152542343111240120
740135621450212156
oct3635546023633760
9576346686728453
10133982315296752
113976664308956a
121303a806379040
13599b62a575870
142512ac89073d6
1510752c2bcb96c
hex79db304f37f0

133982315296752 has 80 divisors (see below), whose sum is σ = 373033064946080. Its totient is φ = 41193542393856.

The previous prime is 133982315296747. The next prime is 133982315296771. The reversal of 133982315296752 is 257692513289331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81964477 + ... + 83583132.

It is an arithmetic number, because the mean of its divisors is an integer number (4662913311826).

Almost surely, 2133982315296752 is an apocalyptic number.

133982315296752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133982315296752 is an abundant number, since it is smaller than the sum of its proper divisors (239050749649328).

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

133982315296752 is a wasteful number, since it uses less digits than its factorization.

133982315296752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165548930 (or 165548924 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 66.

The spelling of 133982315296752 in words is "one hundred thirty-three trillion, nine hundred eighty-two billion, three hundred fifteen million, two hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1297 2594 3891 5188 7782 10376 15564 16861 20752 31128 33722 50583 62256 67444 101166 134888 202332 269776 404664 809328 165547609 331095218 496642827 662190436 993285654 1324380872 1986571308 2152118917 2648761744 3973142616 4304237834 6456356751 7946285232 8608475668 12912713502 17216951336 25825427004 34433902672 51650854008 103301708016 214715248873 429430497746 644145746619 858860995492 1288291493238 1717721990984 2576582986476 2791298235349 3435443981968 5153165972952 5582596470698 8373894706047 10306331945904 11165192941396 16747789412094 22330385882792 33495578824188 44660771765584 66991157648376 133982315296752