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379099239456 = 25371709330097
BaseRepresentation
bin1011000010001000001…
…00110101010000100000
31100020112002002201120110
411201010010311100200
522202343401130311
6450053352211320
736250301240040
oct5410404652040
91306462081513
10379099239456
11136858701683
126157b699b40
1329997461b02
14144c4403720
159cdba508a6
hex5844135420

379099239456 has 96 divisors (see below), whose sum is σ = 1137966641280. Its totient is φ = 108250361856.

The previous prime is 379099239391. The next prime is 379099239479. The reversal of 379099239456 is 654932990973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3790992394562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983400 + ... + 1313496.

It is an arithmetic number, because the mean of its divisors is an integer number (11853819180).

Almost surely, 2379099239456 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 379099239456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568983320640).

379099239456 is an abundant number, since it is smaller than the sum of its proper divisors (758867401824).

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

379099239456 is a wasteful number, since it uses less digits than its factorization.

379099239456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331826 (or 331818 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 66.

The spelling of 379099239456 in words is "three hundred seventy-nine billion, ninety-nine million, two hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1709 3418 5127 6836 10254 11963 13672 20508 23926 27344 35889 41016 47852 54688 71778 82032 95704 143556 164064 191408 287112 330097 382816 574224 660194 990291 1148448 1320388 1980582 2310679 2640776 3961164 4621358 5281552 6932037 7922328 9242716 10563104 13864074 15844656 18485432 27728148 31689312 36970864 55456296 73941728 110912592 221825184 564135773 1128271546 1692407319 2256543092 3384814638 3948950411 4513086184 6769629276 7897900822 9026172368 11846851233 13539258552 15795801644 18052344736 23693702466 27078517104 31591603288 47387404932 54157034208 63183206576 94774809864 126366413152 189549619728 379099239456