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1138174464 = 2937372861
BaseRepresentation
bin100001111010111…
…0010101000000000
32221022200020211210
41003311302220000
54312333040324
6304535010120
740130215620
oct10365625000
92838606753
101138174464
11534519359
12279209940
13151a5861b
14ab238880
1569dc6d29
hex43d72a00

1138174464 has 160 divisors (see below), whose sum is σ = 3560236416. Its totient is φ = 316293120.

The previous prime is 1138174459. The next prime is 1138174469. The reversal of 1138174464 is 4644718311.

It is an interprime number because it is at equal distance from previous prime (1138174459) and next prime (1138174469).

It is a super-2 number, since 2×11381744642 = 2590882221003374592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1138174469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396394 + ... + 399254.

Almost surely, 21138174464 is an apocalyptic number.

1138174464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780118208).

1138174464 is an abundant number, since it is smaller than the sum of its proper divisors (2422061952).

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

1138174464 is an equidigital number, since it uses as much as digits as its factorization.

1138174464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2910 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 1138174464 is about 33736.8413459233. The cubic root of 1138174464 is about 1044.0860163124.

The spelling of 1138174464 in words is "one billion, one hundred thirty-eight million, one hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 512 518 592 672 768 777 888 896 1036 1184 1344 1536 1554 1776 1792 2072 2368 2688 2861 3108 3552 3584 4144 4736 5376 5722 6216 7104 8288 8583 9472 10752 11444 12432 14208 16576 17166 18944 20027 22888 24864 28416 33152 34332 40054 45776 49728 56832 60081 66304 68664 80108 91552 99456 105857 120162 132608 137328 160216 183104 198912 211714 240324 274656 317571 320432 366208 397824 423428 480648 549312 635142 640864 732416 740999 846856 961296 1098624 1270284 1281728 1464832 1481998 1693712 1922592 2197248 2222997 2540568 2563456 2963996 3387424 3845184 4394496 4445994 5081136 5126912 5927992 6774848 7690368 8891988 10162272 10253824 11855984 13549696 15380736 17783976 20324544 23711968 27099392 30761472 35567952 40649088 47423936 54198784 71135904 81298176 94847872 142271808 162596352 189695744 284543616 379391488 569087232 1138174464