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155530125696 = 27311239154061
BaseRepresentation
bin1001000011011001010…
…0010110000110000000
3112212110011101000011210
42100312110112012000
510022011203010241
6155241034210120
714144116153461
oct2206624260600
9485404330153
10155530125696
115aa61779470
1226186883940
13118881b039a
14775600ad68
1540a4350316
hex2436516180

155530125696 has 128 divisors (see below), whose sum is σ = 452572531200. Its totient is φ = 46932838400.

The previous prime is 155530125679. The next prime is 155530125743. The reversal of 155530125696 is 696521035551.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 932506 + ... + 1086566.

It is an arithmetic number, because the mean of its divisors is an integer number (3535722900).

Almost surely, 2155530125696 is an apocalyptic number.

155530125696 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 155530125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226286265600).

155530125696 is an abundant number, since it is smaller than the sum of its proper divisors (297042405504).

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

155530125696 is a wasteful number, since it uses less digits than its factorization.

155530125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154328 (or 154316 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 48.

The spelling of 155530125696 in words is "one hundred fifty-five billion, five hundred thirty million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 239 264 352 384 478 528 704 717 956 1056 1408 1434 1912 2112 2629 2868 3824 4224 5258 5736 7648 7887 10516 11472 15296 15774 21032 22944 30592 31548 42064 45888 63096 84128 91776 126192 154061 168256 252384 308122 336512 462183 504768 616244 924366 1009536 1232488 1694671 1848732 2464976 3389342 3697464 4929952 5084013 6778684 7394928 9859904 10168026 13557368 14789856 19719808 20336052 27114736 29579712 36820579 40672104 54229472 59159424 73641158 81344208 108458944 110461737 147282316 162688416 216917888 220923474 294564632 325376832 405026369 441846948 589129264 650753664 810052738 883693896 1178258528 1215079107 1620105476 1767387792 2356517056 2430158214 3240210952 3534775584 4713034112 4860316428 6480421904 7069551168 9720632856 12960843808 14139102336 19441265712 25921687616 38882531424 51843375232 77765062848 155530125696