Search a number
-
+
31752428085719 = 1122343709374239
BaseRepresentation
bin1110011100000111100000…
…01100100110000111010111
311011102111120022022021202122
413032003300030212013113
513130212433042220334
6151310510350530155
76455015524344515
oct716036014460727
9134374508267678
1031752428085719
11a132146963400
1236899bbb0695b
131494319984c43
147bab7bab94b5
153a0e4821032e
hex1ce0f03261d7

31752428085719 has 48 divisors (see below), whose sum is σ = 37318494259200. Its totient is φ = 26930585626560.

The previous prime is 31752428085713. The next prime is 31752428085731. The reversal of 31752428085719 is 91758082425713.

It is a happy number.

It is not a de Polignac number, because 31752428085719 - 28 = 31752428085463 is a prime.

It is a super-2 number, since 2×317524280857192 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31752428085713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84658202 + ... + 85032440.

It is an arithmetic number, because the mean of its divisors is an integer number (777468630400).

Almost surely, 231752428085719 is an apocalyptic number.

31752428085719 is a deficient number, since it is larger than the sum of its proper divisors (5566066173481).

31752428085719 is a wasteful number, since it uses less digits than its factorization.

31752428085719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375036 (or 375025 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 62.

The spelling of 31752428085719 in words is "thirty-one trillion, seven hundred fifty-two billion, four hundred twenty-eight million, eighty-five thousand, seven hundred nineteen".

Divisors: 1 11 23 43 121 253 473 709 989 2783 5203 7799 10879 16307 30487 85789 119669 179377 335357 374239 701201 1973147 3688927 4116629 7713211 8607497 16092277 45282919 84845321 94682467 177015047 265335451 370122371 1041507137 1947165517 2918689961 4071346081 6102715373 11409424393 32105589571 44784806891 67129869103 125503668323 262416761039 738428560133 1380540351553 2886584371429 31752428085719