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145951879832730 = 23355211037548019
BaseRepresentation
bin100001001011111000010001…
…111100111010010010011010
3201010202212022110012022121000
4201023320101330322102122
5123112233422214121410
61234225211251525430
742512450433110346
oct4113702174722232
9633685273168530
10145951879832730
1142560932231814
12144525512b9876
1363592845c2a2a
1428081742c4626
1511d1823b56dc0
hex84be11f3a49a

145951879832730 has 64 divisors (see below), whose sum is σ = 389952047836800. Its totient is φ = 38845797793920.

The previous prime is 145951879832723. The next prime is 145951879832747. The reversal of 145951879832730 is 37238978159541.

It is a happy number.

145951879832730 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 5 + 187 + 98 + 327 + 30 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518633340 + ... + 518914679.

It is an arithmetic number, because the mean of its divisors is an integer number (6093000747450).

Almost surely, 2145951879832730 is an apocalyptic number.

145951879832730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145951879832730 is an abundant number, since it is smaller than the sum of its proper divisors (244000168004070).

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

145951879832730 is a wasteful number, since it uses less digits than its factorization.

145951879832730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037548556 (or 1037548550 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 145951879832730 in words is "one hundred forty-five trillion, nine hundred fifty-one billion, eight hundred seventy-nine million, eight hundred thirty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 521 1042 1563 2605 3126 4689 5210 7815 9378 14067 15630 23445 28134 46890 70335 140670 1037548019 2075096038 3112644057 5187740095 6225288114 9337932171 10375480190 15563220285 18675864342 28013796513 31126440570 46689660855 56027593026 93379321710 140068982565 280137965130 540562517899 1081125035798 1621687553697 2702812589495 3243375107394 4865062661091 5405625178990 8108437768485 9730125322182 14595187983273 16216875536970 24325313305455 29190375966546 48650626610910 72975939916365 145951879832730