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10147997736 = 23331921111719
BaseRepresentation
bin10010111001101111…
…00010100000101000
3222012020020200212000
421130313202200220
5131240341411421
64354550451000
7506322362142
oct113467424050
928166220760
1010147997736
114338309998
121b72663a60
13c59567bb6
146c3a89c92
153e5d94226
hex25cde2828

10147997736 has 128 divisors (see below), whose sum is σ = 29815680000. Its totient is φ = 3189170880.

The previous prime is 10147997711. The next prime is 10147997747. The reversal of 10147997736 is 63779974101.

10147997736 is a `hidden beast` number, since 10 + 1 + 479 + 97 + 73 + 6 = 666.

It is a super-2 number, since 2×101479977362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860085 + ... + 871803.

It is an arithmetic number, because the mean of its divisors is an integer number (232935000).

Almost surely, 210147997736 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 10147997736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907840000).

10147997736 is an abundant number, since it is smaller than the sum of its proper divisors (19667682264).

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

10147997736 is a wasteful number, since it uses less digits than its factorization.

10147997736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 10147997736 in words is "ten billion, one hundred forty-seven million, nine hundred ninety-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 211 216 228 342 422 456 513 633 684 844 1026 1266 1368 1688 1899 2052 2532 3798 4009 4104 5064 5697 7596 8018 11394 11719 12027 15192 16036 22788 23438 24054 32072 35157 36081 45576 46876 48108 70314 72162 93752 96216 105471 108243 140628 144324 210942 216486 222661 281256 288648 316413 421884 432972 445322 632826 667983 843768 865944 890644 1265652 1335966 1781288 2003949 2472709 2531304 2671932 4007898 4945418 5343864 6011847 7418127 8015796 9890836 12023694 14836254 16031592 19781672 22254381 24047388 29672508 44508762 46981471 48094776 59345016 66763143 89017524 93962942 133526286 140944413 178035048 187925884 267052572 281888826 375851768 422833239 534105144 563777652 845666478 1127555304 1268499717 1691332956 2536999434 3382665912 5073998868 10147997736