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370400011044 = 22377176181611
BaseRepresentation
bin1010110001111011000…
…11111010001100100100
31022102001210222010121120
411120331203322030210
522032034400323134
6442054233413540
735521600101060
oct5307543721444
91272053863546
10370400011044
111330a4171608
125b95226a2b0
1328c0c0bc88b
1413cdad22aa0
15997ce86649
hex563d8fa324

370400011044 has 96 divisors (see below), whose sum is σ = 1002973612032. Its totient is φ = 104199648000.

The previous prime is 370400011027. The next prime is 370400011109. The reversal of 370400011044 is 440110004073.

370400011044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 4497799 + ... + 4579409.

It is an arithmetic number, because the mean of its divisors is an integer number (10447641792).

Almost surely, 2370400011044 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 370400011044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501486806016).

370400011044 is an abundant number, since it is smaller than the sum of its proper divisors (632573600988).

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

370400011044 is a wasteful number, since it uses less digits than its factorization.

370400011044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82457 (or 82455 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 370400011044 in words is "three hundred seventy billion, four hundred million, eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 761 852 994 1491 1522 1988 2283 2982 3044 4566 5327 5964 9132 10654 15981 21308 31962 54031 63924 81611 108062 162093 163222 216124 244833 324186 326444 378217 489666 571277 648372 756434 979332 1134651 1142554 1512868 1713831 2269302 2285108 3427662 4538604 5794381 6855324 11588762 17383143 23177524 34766286 40560667 62105971 69532572 81121334 121682001 124211942 162242668 186317913 243364002 248423884 372635826 434741797 486728004 745271652 869483594 1304225391 1738967188 2608450782 4409523941 5216901564 8819047882 13228571823 17638095764 26457143646 30866667587 52914287292 61733335174 92600002761 123466670348 185200005522 370400011044