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1138758456 = 233117954601
BaseRepresentation
bin100001111100000…
…0001001100111000
32221100202220221010
41003320001030320
54313010232311
6304555313520
740135200333
oct10370011470
92840686833
101138758456
115348880a0
1227944b8a0
13151c01394
14ab34b61a
1569e8eda6
hex43e01338

1138758456 has 64 divisors (see below), whose sum is σ = 3145075200. Its totient is φ = 340704000.

The previous prime is 1138758449. The next prime is 1138758493. The reversal of 1138758456 is 6548578311.

It is a super-2 number, since 2×11387584562 = 2593541642223007872, 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 15 ways as a sum of consecutive naturals, for example, 6445 + ... + 48156.

It is an arithmetic number, because the mean of its divisors is an integer number (49141800).

Almost surely, 21138758456 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 1138758456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572537600).

1138758456 is an abundant number, since it is smaller than the sum of its proper divisors (2006316744).

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

1138758456 is a wasteful number, since it uses less digits than its factorization.

1138758456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54700 (or 54696 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 1138758456 is about 33745.4953438233. The cubic root of 1138758456 is about 1044.2645576653.

The spelling of 1138758456 in words is "one billion, one hundred thirty-eight million, seven hundred fifty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 6952 10428 20856 54601 109202 163803 218404 327606 436808 600611 655212 1201222 1310424 1801833 2402444 3603666 4313479 4804888 7207332 8626958 12940437 14414664 17253916 25880874 34507832 47448269 51761748 94896538 103523496 142344807 189793076 284689614 379586152 569379228 1138758456