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150051515160 = 233523431264337
BaseRepresentation
bin1000101110111111000…
…1000110101100011000
3112100022100101202101110
42023233301012230120
54424301141441120
6152533244420320
713561262556141
oct2135761065430
9470270352343
10150051515160
1158700194268
12250b7b476a0
13111c41483c1
147396560ac8
153d833a82e0
hex22efc46b18

150051515160 has 128 divisors (see below), whose sum is σ = 480650734080. Its totient is φ = 37383886848.

The previous prime is 150051515153. The next prime is 150051515221. The reversal of 150051515160 is 61515150051.

150051515160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513489 + ... + 750848.

It is an arithmetic number, because the mean of its divisors is an integer number (3755083860).

Almost surely, 2150051515160 is an apocalyptic number.

150051515160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150051515160 is an abundant number, since it is smaller than the sum of its proper divisors (330599218920).

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

150051515160 is a wasteful number, since it uses less digits than its factorization.

150051515160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264417 (or 1264413 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 150051515160 in words is "one hundred fifty billion, fifty-one million, five hundred fifteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 215 230 258 276 344 345 430 460 516 552 645 690 860 920 989 1032 1290 1380 1720 1978 2580 2760 2967 3956 4945 5160 5934 7912 9890 11868 14835 19780 23736 29670 39560 59340 118680 1264337 2528674 3793011 5057348 6321685 7586022 10114696 12643370 15172044 18965055 25286740 29079751 30344088 37930110 50573480 54366491 58159502 75860220 87239253 108732982 116319004 145398755 151720440 163099473 174478506 217465964 232638008 271832455 290797510 326198946 348957012 434931928 436196265 543664910 581595020 652397892 697914024 815497365 872392530 1087329820 1163190040 1250429293 1304795784 1630994730 1744785060 2174659640 2500858586 3261989460 3489570120 3751287879 5001717172 6252146465 6523978920 7502575758 10003434344 12504292930 15005151516 18756439395 25008585860 30010303032 37512878790 50017171720 75025757580 150051515160