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150510514960 = 245131051137699
BaseRepresentation
bin1000110000101100100…
…0000011001100010000
3112101111100002100202001
42030023020003030100
54431221142434320
6153051002403344
713605535161031
oct2141310031420
9471440070661
10150510514960
1158916297643
1225205800554
1311268276610
1473db4c2a88
153dad82320a
hex230b203310

150510514960 has 80 divisors (see below), whose sum is σ = 377216481600. Its totient is φ = 55519833600.

The previous prime is 150510514949. The next prime is 150510514981. The reversal of 150510514960 is 69415015051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1505105149602 (a number of 23 digits) contains 22 as substring.

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, 1024191 + ... + 1161889.

It is an arithmetic number, because the mean of its divisors is an integer number (4715206020).

Almost surely, 2150510514960 is an apocalyptic number.

150510514960 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 150510514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188608240800).

150510514960 is an abundant number, since it is smaller than the sum of its proper divisors (226705966640).

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

150510514960 is a wasteful number, since it uses less digits than its factorization.

150510514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138776 (or 138770 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 150510514960 in words is "one hundred fifty billion, five hundred ten million, five hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1051 2102 4204 5255 8408 10510 13663 16816 21020 27326 42040 54652 68315 84080 109304 136630 137699 218608 273260 275398 546520 550796 688495 1093040 1101592 1376990 1790087 2203184 2753980 3580174 5507960 7160348 8950435 11015920 14320696 17900870 28641392 35801740 71603480 143206960 144721649 289443298 578886596 723608245 1157773192 1447216490 1881381437 2315546384 2894432980 3762762874 5788865960 7525525748 9406907185 11577731920 15051051496 18813814370 30102102992 37627628740 75255257480 150510514960