Search a number
-
+
16190453657376 = 2532232444210999
BaseRepresentation
bin1110101110011010001000…
…1111010010111100100000
32010022210101112221001000200
43223212202033102330200
54110231022114014001
654233443002545200
73260502351262005
oct353464217227440
963283345831020
1016190453657376
115182373007109
12199599a208200
139059a3ac762b
143dd89d20b8ac
151d123e204086
hexeb9a23d2f20

16190453657376 has 72 divisors (see below), whose sum is σ = 48043411416000. Its totient is φ = 5162173627776.

The previous prime is 16190453657347. The next prime is 16190453657381. The reversal of 16190453657376 is 67375635409161.

16190453657376 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 0 + 4 + 53 + 6 + 573 + 7 + 6 = 666.

16190453657376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222098876 + ... + 1222112123.

It is an arithmetic number, because the mean of its divisors is an integer number (667269603000).

Almost surely, 216190453657376 is an apocalyptic number.

16190453657376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16190453657376 is an abundant number, since it is smaller than the sum of its proper divisors (31852957758624).

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

16190453657376 is a wasteful number, since it uses less digits than its factorization.

16190453657376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444211038 (or 2444211027 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 16190453657376 in words is "sixteen trillion, one hundred ninety billion, four hundred fifty-three million, six hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 2444210999 4888421998 7332632997 9776843996 14665265994 19553687992 21997898991 29330531988 39107375984 43995797982 56216852977 58661063976 78214751968 87991595964 112433705954 117322127952 168650558931 175983191928 224867411908 234644255904 337301117862 351966383856 449734823816 505951676793 674602235724 703932767712 899469647632 1011903353586 1349204471448 1798939295264 2023806707172 2698408942896 4047613414344 5396817885792 8095226828688 16190453657376