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137137511027416 = 23677115589219059
BaseRepresentation
bin11111001011100111010000…
…101000010101001011011000
3122222120012212221020020101111
4133023213100220111023120
5120433330110310334131
61203400034114030104
740612600236341314
oct3713472050251330
9588505787206344
10137137511027416
113a772767897779
121346a202b78334
135b6a01cc04753
1425c16c3242b44
1510cc3dc21aab1
hex7cb9d0a152d8

137137511027416 has 32 divisors (see below), whose sum is σ = 257516048718000. Its totient is φ = 68466567385216.

The previous prime is 137137511027411. The next prime is 137137511027437. The reversal of 137137511027416 is 614720115731731.

It is a self number, because there is not a number n which added to its sum of digits gives 137137511027416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137137511027411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625920495 + ... + 626139553.

Almost surely, 2137137511027416 is an apocalyptic number.

It is an amenable number.

137137511027416 is a deficient number, since it is larger than the sum of its proper divisors (120378537690584).

137137511027416 is a wasteful number, since it uses less digits than its factorization.

137137511027416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335331 (or 335327 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 137137511027416 in words is "one hundred thirty-seven trillion, one hundred thirty-seven billion, five hundred eleven million, twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 677 1354 2708 5416 115589 219059 231178 438118 462356 876236 924712 1752472 78253753 148302943 156507506 296605886 313015012 593211772 626030024 1186423544 25320810751 50641621502 101283243004 202566486008 17142188878427 34284377756854 68568755513708 137137511027416