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10012806015888 = 24313314871062871
BaseRepresentation
bin1001000110110100100110…
…1111101110101110010000
31022110012210200000021010010
42101231021233232232100
52303022211320002023
633143453010234520
72052254444601504
oct221551157565620
938405720007103
1010012806015888
113210452a65325
121158670585a40
1357828529b210
1426889dc00304
151256c9328093
hex91b49beeb90

10012806015888 has 160 divisors (see below), whose sum is σ = 28813796687872. Its totient is φ = 2975355763200.

The previous prime is 10012806015847. The next prime is 10012806015893. The reversal of 10012806015888 is 88851060821001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8889093 + ... + 9951963.

Almost surely, 210012806015888 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 10012806015888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406898343936).

10012806015888 is an abundant number, since it is smaller than the sum of its proper divisors (18800990671984).

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

10012806015888 is a wasteful number, since it uses less digits than its factorization.

10012806015888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063413 (or 1063407 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 48.

Adding to 10012806015888 its reverse (88851060821001), we get a palindrome (98863866836889).

The spelling of 10012806015888 in words is "ten trillion, twelve billion, eight hundred six million, fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 487 496 624 744 806 974 1209 1461 1488 1612 1948 2418 2922 3224 3896 4836 5844 6331 6448 7792 9672 11688 12662 15097 18993 19344 23376 25324 30194 37986 45291 50648 60388 75972 90582 101296 120776 151944 181164 196261 241552 303888 362328 392522 588783 724656 785044 1062871 1177566 1570088 2125742 2355132 3140176 3188613 4251484 4710264 6377226 8502968 9420528 12754452 13817323 17005936 25508904 27634646 32949001 41451969 51017808 55269292 65898002 82903938 98847003 110538584 131796004 165807876 197694006 221077168 263592008 331615752 395388012 428337013 517618177 527184016 663231504 790776024 856674026 1035236354 1285011039 1552854531 1581552048 1713348052 2070472708 2570022078 3105709062 3426696104 4140945416 5140044156 6211418124 6729036301 6853392208 8281890832 10280088312 12422836248 13458072602 16046163487 20187108903 20560176624 24845672496 26916145204 32092326974 40374217806 48138490461 53832290408 64184653948 80748435612 96276980922 107664580816 128369307896 161496871224 192553961844 208600125331 256738615792 322993742448 385107923688 417200250662 625800375993 770215847376 834400501324 1251600751986 1668801002648 2503201503972 3337602005296 5006403007944 10012806015888