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151751106048 = 293235381047
BaseRepresentation
bin1000110101010100010…
…0100001111000000000
3112111200210110220210010
42031111010201320000
54441241240343143
6153414040504520
713651351055463
oct2152504417000
9474623426703
10151751106048
11593a25a8033
12254b117b140
13114052b0699
1474b817b2da
153e326caa33
hex2355121e00

151751106048 has 160 divisors (see below), whose sum is σ = 429816347136. Its totient is φ = 47470911488.

The previous prime is 151751106043. The next prime is 151751106077. The reversal of 151751106048 is 840601157151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 151751105997 and 151751106015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151751106043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831861 + ... + 1912907.

Almost surely, 2151751106048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151751106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214908173568).

151751106048 is an abundant number, since it is smaller than the sum of its proper divisors (278065241088).

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

151751106048 is an equidigital number, since it uses as much as digits as its factorization.

151751106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81144 (or 81128 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 151751106048 in words is "one hundred fifty-one billion, seven hundred fifty-one million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 128 138 159 184 192 212 256 276 318 368 384 424 512 552 636 736 768 848 1104 1219 1272 1472 1536 1696 2208 2438 2544 2944 3392 3657 4416 4876 5088 5888 6784 7314 8832 9752 10176 11776 13568 14628 17664 19504 20352 27136 29256 35328 39008 40704 58512 78016 81047 81408 117024 156032 162094 234048 243141 312064 324188 468096 486282 624128 648376 936192 972564 1296752 1864081 1872384 1945128 2593504 3728162 3890256 4295491 5187008 5592243 7456324 7780512 8590982 10374016 11184486 12886473 14912648 15561024 17181964 20748032 22368972 25772946 29825296 31122048 34363928 41496064 44737944 51545892 59650592 62244096 68727856 89475888 98796293 103091784 119301184 124488192 137455712 178951776 197592586 206183568 238602368 274911424 296388879 357903552 395185172 412367136 477204736 549822848 592777758 715807104 790370344 824734272 954409472 1099645696 1185555516 1431614208 1580740688 1649468544 2199291392 2371111032 2863228416 3161481376 3298937088 4742222064 6322962752 6597874176 9484444128 12645925504 18968888256 25291851008 37937776512 50583702016 75875553024 151751106048