Search a number
-
+
649700159655456 = 253472131920710231
BaseRepresentation
bin1001001110111001100001101…
…1001110100000111000100000
310011012101201200012112202020000
42103232120123032200320200
51140124141411332433311
610221444044414420000
7253564200423061500
oct22356303316407040
93135351605482200
10649700159655456
11179018321528298
1260a502b0b01600
1321b6a601500990
14b661926a13a00
15501a2d36a9056
hex24ee61b3a0e20

649700159655456 has 720 divisors, whose sum is σ = 2519670612634560. Its totient is φ = 162331090467840.

The previous prime is 649700159655433. The next prime is 649700159655509. The reversal of 649700159655456 is 654556951007946.

649700159655456 is a `hidden beast` number, since 6 + 4 + 9 + 7 + 0 + 0 + 15 + 9 + 6 + 554 + 56 = 666.

It is a super-2 number, since 2×6497001596554562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21015861 + ... + 41726091.

It is an arithmetic number, because the mean of its divisors is an integer number (3499542517548).

Almost surely, 2649700159655456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649700159655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259835306317280).

649700159655456 is an abundant number, since it is smaller than the sum of its proper divisors (1869970452979104).

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

649700159655456 is a wasteful number, since it uses less digits than its factorization.

649700159655456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20710299 (or 20710275 counting only the distinct ones).

The product of its (nonzero) digits is 1224720000, while the sum is 72.

The spelling of 649700159655456 in words is "six hundred forty-nine trillion, seven hundred billion, one hundred fifty-nine million, six hundred fifty-five thousand, four hundred fifty-six".