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5640420096 = 2834272011
BaseRepresentation
bin1010100000011000…
…11111101100000000
3112120002110000210000
411100030133230000
543022421420341
62331405440000
7256526531313
oct52014375400
915502400700
105640420096
112434963113
121114b70000
136bb73a2ac
143b716a97a
152302aa8b6
hex15031fb00

5640420096 has 90 divisors (see below), whose sum is σ = 16818773972. Its totient is φ = 1880133120.

The previous prime is 5640420091. The next prime is 5640420101. The reversal of 5640420096 is 6900240465.

5640420096 is a `hidden beast` number, since 5 + 640 + 4 + 2 + 0 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5640420091) and next prime (5640420101).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5640420096.

It is not an unprimeable number, because it can be changed into a prime (5640420091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 115270 + ... + 156741.

Almost surely, 25640420096 is an apocalyptic number.

It is an amenable number.

5640420096 is an abundant number, since it is smaller than the sum of its proper divisors (11178353876).

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

5640420096 is an equidigital number, since it uses as much as digits as its factorization.

5640420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272039 (or 272016 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5640420096 is about 75102.7302832593. The cubic root of 5640420096 is about 1780.0702846463.

The spelling of 5640420096 in words is "five billion, six hundred forty million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 272011 544022 816033 1088044 1632066 2176088 2448099 3264132 4352176 4896198 6528264 7344297 8704352 9792396 13056528 14688594 17408704 19584792 22032891 26113056 29377188 34817408 39169584 44065782 52226112 58754376 69634816 78339168 88131564 104452224 117508752 156678336 176263128 208904448 235017504 313356672 352526256 470035008 626713344 705052512 940070016 1410105024 1880140032 2820210048 5640420096