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151250213952 = 26363241817
BaseRepresentation
bin1000110011011100110…
…1110001110001000000
3112110101212221222000000
42030313031301301000
54434230023321302
6153252225000000
713633056414615
oct2146715616100
9473355858000
10151250213952
1159165891422
1225391483000
13113555a5526
14746b83250c
153e0373831c
hex2337371c40

151250213952 has 98 divisors (see below), whose sum is σ = 449999998398. Its totient is φ = 50416722432.

The previous prime is 151250213941. The next prime is 151250213981. The reversal of 151250213952 is 259312052151.

151250213952 is a `hidden beast` number, since 1 + 5 + 12 + 502 + 139 + 5 + 2 = 666.

151250213952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134677256256 + 16572957696 = 366984^2 + 128736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1574253 + ... + 1667564.

Almost surely, 2151250213952 is an apocalyptic number.

151250213952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151250213952 is an abundant number, since it is smaller than the sum of its proper divisors (298749784446).

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

151250213952 is an frugal number, since it uses more digits than its factorization.

151250213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241847 (or 3241822 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 151250213952 in words is "one hundred fifty-one billion, two hundred fifty million, two hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 3241817 6483634 9725451 12967268 19450902 25934536 29176353 38901804 51869072 58352706 77803608 87529059 103738144 116705412 155607216 175058118 207476288 233410824 262587177 311214432 350116236 466821648 525174354 622428864 700232472 787761531 933643296 1050348708 1400464944 1575523062 1867286592 2100697416 2363284593 2800929888 3151046124 4201394832 4726569186 5601859776 6302092248 8402789664 9453138372 12604184496 16805579328 18906276744 25208368992 37812553488 50416737984 75625106976 151250213952