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1013050944 = 263217103457
BaseRepresentation
bin111100011000011…
…110111001000000
32121121020022122100
4330120132321000
54033320112234
6244305110400
734050535203
oct7430367100
92547208570
101013050944
1147a928194
12243328400
13131b59639
149878793a
155de0d399
hex3c61ee40

1013050944 has 84 divisors (see below), whose sum is σ = 3074564844. Its totient is φ = 317816832.

The previous prime is 1013050943. The next prime is 1013051023. The reversal of 1013050944 is 4490503101.

It can be written as a sum of positive squares in 2 ways, for example, as 558849600 + 454201344 = 23640^2 + 21312^2 .

It is a super-2 number, since 2×10130509442 = 2052544430278582272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013050943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41937 + ... + 61520.

Almost surely, 21013050944 is an apocalyptic number.

It is an amenable number.

1013050944 is an abundant number, since it is smaller than the sum of its proper divisors (2061513900).

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

1013050944 is a wasteful number, since it uses less digits than its factorization.

1013050944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103492 (or 103479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1013050944 is about 31828.4612257646. The cubic root of 1013050944 is about 1004.3315254643.

The spelling of 1013050944 in words is "one billion, thirteen million, fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 103457 206914 310371 413828 620742 827656 931113 1241484 1655312 1758769 1862226 2482968 3310624 3517538 3724452 4965936 5276307 6621248 7035076 7448904 9931872 10552614 14070152 14897808 15828921 19863744 21105228 28140304 29795616 31657842 42210456 56280608 59591232 63315684 84420912 112561216 126631368 168841824 253262736 337683648 506525472 1013050944