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190815206976 = 263460672
BaseRepresentation
bin1011000110110101111…
…0001111111001000000
3200020112020110212010000
42301231132033321000
511111242143110401
6223354224040000
716533402332532
oct2615536177100
9606466425100
10190815206976
1173a19234269
1230b93763000
1314cbc4aa4c4
149342325852
154e6be44186
hex2c6d78fe40

190815206976 has 105 divisors (see below), whose sum is σ = 565729297419. Its totient is φ = 63594585216.

The previous prime is 190815206969. The next prime is 190815207007. The reversal of 190815206976 is 679602518091.

The square root of 190815206976 is 436824.

It is a perfect power (a square), and thus also a powerful number.

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 14 ways as a sum of consecutive naturals, for example, 31448295 + ... + 31454361.

Almost surely, 2190815206976 is an apocalyptic number.

190815206976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

190815206976 is the 436824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190815206976

190815206976 is an abundant number, since it is smaller than the sum of its proper divisors (374914090443).

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

190815206976 is an frugal number, since it uses more digits than its factorization.

190815206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 190815206976 in words is "one hundred ninety billion, eight hundred fifteen million, two hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 6067 12134 18201 24268 36402 48536 54603 72804 97072 109206 145608 163809 194144 218412 291216 327618 388288 436824 491427 582432 655236 873648 982854 1164864 1310472 1747296 1965708 2620944 3494592 3931416 5241888 7862832 10483776 15725664 31451328 36808489 73616978 110425467 147233956 220850934 294467912 331276401 441701868 588935824 662552802 883403736 993829203 1177871648 1325105604 1766807472 1987658406 2355743296 2650211208 2981487609 3533614944 3975316812 5300422416 5962975218 7067229888 7950633624 10600844832 11925950436 15901267248 21201689664 23851900872 31802534496 47703801744 63605068992 95407603488 190815206976