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199279382472 = 233217374400269
BaseRepresentation
bin1011100110010111111…
…0100000111111001000
3201001101010022112002100
42321211332200333020
511231111010214342
6231314144433400
720253220542162
oct2714576407710
9631333275070
10199279382472
117757201a625
1232756318860
1315a3ac41581
1499064db932
1552b507ce4c
hex2e65fa0fc8

199279382472 has 96 divisors (see below), whose sum is σ = 586908012600. Its totient is φ = 60829304832.

The previous prime is 199279382459. The next prime is 199279382473. The reversal of 199279382472 is 274283972991.

199279382472 is a `hidden beast` number, since 1 + 9 + 92 + 79 + 3 + 8 + 2 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197663824836 + 1615557636 = 444594^2 + 40194^2 .

It is not an unprimeable number, because it can be changed into a prime (199279382473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154847 + ... + 2245422.

Almost surely, 2199279382472 is an apocalyptic number.

199279382472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199279382472 is an abundant number, since it is smaller than the sum of its proper divisors (387628630128).

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

199279382472 is a wasteful number, since it uses less digits than its factorization.

199279382472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400335 (or 4400328 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 199279382472 in words is "one hundred ninety-nine billion, two hundred seventy-nine million, three hundred eighty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 1224 1258 1332 1887 2516 2664 3774 5032 5661 7548 11322 15096 22644 45288 4400269 8800538 13200807 17601076 26401614 35202152 39602421 52803228 74804573 79204842 105606456 149609146 158409684 162809953 224413719 299218292 316819368 325619906 448827438 488429859 598436584 651239812 673241157 897654876 976859718 1302479624 1346482314 1465289577 1795309752 1953719436 2692964628 2767769201 2930579154 3907438872 5385929256 5535538402 5861158308 8303307603 11071076804 11722316616 16606615206 22142153608 24909922809 33213230412 49819845618 66426460824 99639691236 199279382472