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135405500656 = 24317313128547
BaseRepresentation
bin111111000011011001…
…0111111100011110000
3110221111122100010111211
41332012302333203300
54204302302010111
6142112053445504
712532321523326
oct1760662774360
9427448303454
10135405500656
1152474969848
12222ab040894
13c9cba4c62a
1467a7363d16
1537c76b8521
hex1f86cbf8f0

135405500656 has 80 divisors (see below), whose sum is σ = 276626009088. Its totient is φ = 64125734400.

The previous prime is 135405500639. The next prime is 135405500717. The reversal of 135405500656 is 656005504531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4728975 + ... + 4757521.

Almost surely, 2135405500656 is an apocalyptic number.

135405500656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135405500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138313004544).

135405500656 is an abundant number, since it is smaller than the sum of its proper divisors (141220508432).

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

135405500656 is a wasteful number, since it uses less digits than its factorization.

135405500656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28790 (or 28784 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 135405500656 in words is "one hundred thirty-five billion, four hundred five million, five hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 73 124 131 146 248 262 292 496 524 584 1048 1168 2096 2263 4061 4526 8122 9052 9563 16244 18104 19126 28547 32488 36208 38252 57094 64976 76504 114188 153008 228376 296453 456752 592906 884957 1185812 1769914 2083931 2371624 3539828 3739657 4167862 4743248 7079656 7479314 8335724 14159312 14958628 16671448 29917256 33342896 59834512 64601861 115929367 129203722 231858734 258407444 272994961 463717468 516814888 545989922 927434936 1033629776 1091979844 1854869872 2183959688 4367919376 8462843791 16925687582 33851375164 67702750328 135405500656