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150468620652 = 2234782180809
BaseRepresentation
bin1000110000100010100…
…0001111000101101100
3112101101102020220120000
42030020220033011230
54431124431330102
6153042504424300
713604516113140
oct2141050170554
9471342226500
10150468620652
11588a4682849
12251b3778090
131125c69879c
1473d5ad9220
153da9cea01c
hex2308a0f16c

150468620652 has 120 divisors (see below), whose sum is σ = 450101356320. Its totient is φ = 42938138880.

The previous prime is 150468620647. The next prime is 150468620657. The reversal of 150468620652 is 256026864051.

150468620652 is a `hidden beast` number, since 1 + 504 + 6 + 86 + 2 + 0 + 65 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (150468620647) and next prime (150468620657).

It is a junction number, because it is equal to n+sod(n) for n = 150468620598 and 150468620607.

It is not an unprimeable number, because it can be changed into a prime (150468620657) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1821624 + ... + 1902432.

It is an arithmetic number, because the mean of its divisors is an integer number (3750844636).

Almost surely, 2150468620652 is an apocalyptic number.

150468620652 is a gapful number since it is divisible by the number (12) 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 150468620652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225050678160).

150468620652 is an abundant number, since it is smaller than the sum of its proper divisors (299632735668).

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

150468620652 is a wasteful number, since it uses less digits than its factorization.

150468620652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81653 (or 81642 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 150468620652 in words is "one hundred fifty billion, four hundred sixty-eight million, six hundred twenty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 821 1134 1642 2268 2463 3284 4926 5747 7389 9852 11494 14778 17241 22167 22988 29556 34482 44334 51723 66501 68964 80809 88668 103446 133002 155169 161618 206892 242427 266004 310338 323236 465507 484854 565663 620676 727281 931014 969708 1131326 1454562 1696989 1862028 2181843 2262652 2909124 3393978 4363686 5090967 6545529 6787956 8727372 10181934 13091058 15272901 20363868 26182116 30545802 45818703 61091604 66344189 91637406 132688378 183274812 199032567 265376756 398065134 464409323 597097701 796130268 928818646 1194195402 1393227969 1791293103 1857637292 2388390804 2786455938 3582586206 4179683907 5373879309 5572911876 7165172412 8359367814 10747758618 12539051721 16718735628 21495517236 25078103442 37617155163 50156206884 75234310326 150468620652