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153146574840 = 233571307139493
BaseRepresentation
bin1000111010100000111…
…1110100011111111000
3112122022001022002002110
42032220033310133320
510002121010343330
6154204330332320
714031054256560
oct2165017643770
9478261262073
10153146574840
1159a49281426
122582058a0a0
131159843386c
1475ab62dda0
153eb4e77db0
hex23a83f47f8

153146574840 has 128 divisors (see below), whose sum is σ = 525479477760. Its totient is φ = 34977897984.

The previous prime is 153146574839. The next prime is 153146574853. The reversal of 153146574840 is 48475641351.

It is a self number, because there is not a number n which added to its sum of digits gives 153146574840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028134 + ... + 1167626.

It is an arithmetic number, because the mean of its divisors is an integer number (4105308420).

Almost surely, 2153146574840 is an apocalyptic number.

153146574840 is a gapful number since it is divisible by the number (10) 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 153146574840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262739738880).

153146574840 is an abundant number, since it is smaller than the sum of its proper divisors (372332902920).

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

153146574840 is a wasteful number, since it uses less digits than its factorization.

153146574840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140821 (or 140817 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 153146574840 in words is "one hundred fifty-three billion, one hundred forty-six million, five hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1307 2614 3921 5228 6535 7842 9149 10456 13070 15684 18298 19605 26140 27447 31368 36596 39210 45745 52280 54894 73192 78420 91490 109788 137235 139493 156840 182980 219576 274470 278986 365960 418479 548940 557972 697465 836958 976451 1097880 1115944 1394930 1673916 1952902 2092395 2789860 2929353 3347832 3905804 4184790 4882255 5579720 5858706 7811608 8369580 9764510 11717412 14646765 16739160 19529020 23434824 29293530 39058040 58587060 117174120 182317351 364634702 546952053 729269404 911586755 1093904106 1276221457 1458538808 1823173510 2187808212 2552442914 2734760265 3646347020 3828664371 4375616424 5104885828 5469520530 6381107285 7292694040 7657328742 10209771656 10939041060 12762214570 15314657484 19143321855 21878082120 25524429140 30629314968 38286643710 51048858280 76573287420 153146574840