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132006936205376 = 26233108726713049
BaseRepresentation
bin11110000000111101000010…
…100010100101100001000000
3122022101201222100112212202022
4132000331002202211201000
5114300300201132033001
61144431052125541012
736543120640035611
oct3600750242454100
9568351870485668
10132006936205376
113907491108a851
121297b9b3a14768
13588727bb4729b
142485253d1dc08
15103dc0b48d11b
hex780f428a5840

132006936205376 has 112 divisors (see below), whose sum is σ = 263502516326400. Its totient is φ = 65613622026240.

The previous prime is 132006936205351. The next prime is 132006936205387. The reversal of 132006936205376 is 673502639600231.

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 15 ways as a sum of consecutive naturals, for example, 43295156300 + ... + 43295159348.

Almost surely, 2132006936205376 is an apocalyptic number.

132006936205376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132006936205376 is a deficient number, since it is larger than the sum of its proper divisors (131495580121024).

132006936205376 is a wasteful number, since it uses less digits than its factorization.

132006936205376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 53.

The spelling of 132006936205376 in words is "one hundred thirty-two trillion, six billion, nine hundred thirty-six million, two hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 233 466 932 1087 1864 2174 2671 3049 3728 4348 5342 6098 7456 8696 10684 12196 14912 17392 21368 24392 34784 42736 48784 69568 85472 97568 170944 195136 253271 506542 622343 710417 1013084 1244686 1420834 2026168 2489372 2841668 2903377 3314263 4052336 4978744 5683336 5806754 6628526 8104672 8143879 9957488 11366672 11613508 13257052 16209344 16287758 19914976 22733344 23227016 26514104 32575516 39829952 45466688 46454032 53028208 65151032 92908064 106056416 130302064 185816128 212112832 260604128 521208256 676486841 772223279 1352973682 1544446558 1897523807 2705947364 3088893116 3795047614 5411894728 6177786232 7590095228 8852396473 10823789456 12355572464 15180190456 17704792946 21647578912 24711144928 30360380912 35409585892 43295157824 49422289856 60720761824 70819171784 121441523648 141638343568 283276687136 566553374272 2062608378209 4125216756418 8250433512836 16500867025672 33001734051344 66003468102688 132006936205376