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137501957632 = 291323898189
BaseRepresentation
bin1000000000001111000…
…0010101111000000000
3111010220202012011211111
42000003300111320000
54223101000121012
6143100104053104
712635266232644
oct2000360257000
9433822164744
10137501957632
11533502a7a16
1222795164194
13cc74199910
14692596ac24
15389b780ba7
hex2003c15e00

137501957632 has 80 divisors (see below), whose sum is σ = 308733052320. Its totient is φ = 60703137792.

The previous prime is 137501957623. The next prime is 137501957639. The reversal of 137501957632 is 236759105731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137501957639) by changing a digit.

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, 296007 + ... + 602182.

It is an arithmetic number, because the mean of its divisors is an integer number (3859163154).

Almost surely, 2137501957632 is an apocalyptic number.

It is an amenable number.

137501957632 is an abundant number, since it is smaller than the sum of its proper divisors (171231094688).

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

137501957632 is an equidigital number, since it uses as much as digits as its factorization.

137501957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898243 (or 898227 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 49.

The spelling of 137501957632 in words is "one hundred thirty-seven billion, five hundred one million, nine hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 6656 9568 11776 19136 38272 76544 153088 898189 1796378 3592756 7185512 11676457 14371024 20658347 23352914 28742048 41316694 46705828 57484096 82633388 93411656 114968192 165266776 186823312 229936384 268558511 330533552 373646624 459872768 537117022 661067104 747293248 1074234044 1322134208 1494586496 2148468088 2644268416 2989172992 4296936176 5288536832 5978345984 8593872352 10577073664 17187744704 34375489408 68750978816 137501957632