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1055137374 = 233192361733
BaseRepresentation
bin111110111001000…
…001111001011110
32201112102112101000
4332321001321132
54130103343444
6252411131130
735101343154
oct7671017136
92645375330
101055137374
114a1663365
12255443aa6
1313a7a3a55
14a01c13d4
1562973469
hex3ee41e5e

1055137374 has 128 divisors (see below), whose sum is σ = 2621260800. Its totient is φ = 313061760.

The previous prime is 1055137367. The next prime is 1055137403. The reversal of 1055137374 is 4737315501.

1055137374 is a `hidden beast` number, since 1 + 0 + 5 + 513 + 73 + 74 = 666.

It is a super-2 number, since 2×10551373742 = 2226629756023231752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439112 + ... + 1439844.

It is an arithmetic number, because the mean of its divisors is an integer number (20478600).

Almost surely, 21055137374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055137374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310630400).

1055137374 is an abundant number, since it is smaller than the sum of its proper divisors (1566123426).

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

1055137374 is a wasteful number, since it uses less digits than its factorization.

1055137374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1055137374 is about 32482.8781668127. The cubic root of 1055137374 is about 1018.0513140544.

The spelling of 1055137374 in words is "one billion, fifty-five million, one hundred thirty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 61 69 114 122 138 171 183 207 342 366 414 437 513 549 621 733 874 1026 1098 1159 1242 1311 1403 1466 1647 2199 2318 2622 2806 3294 3477 3933 4209 4398 6597 6954 7866 8418 10431 11799 12627 13194 13927 16859 19791 20862 23598 25254 26657 27854 31293 33718 37881 39582 41781 44713 50577 53314 62586 75762 79971 83562 89426 101154 125343 134139 151731 159942 239913 250686 268278 303462 320321 376029 402417 455193 479826 640642 719739 752058 804834 849547 910386 960963 1028399 1207251 1439478 1699094 1921926 2056798 2414502 2548641 2882889 3085197 5097282 5765778 6170394 7645923 8648667 9255591 15291846 17297334 18511182 19539581 22937769 27766773 39079162 45875538 55533546 58618743 117237486 175856229 351712458 527568687 1055137374