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1011748864 = 21272712
BaseRepresentation
bin111100010011100…
…001000000000000
32121111210011112011
4330103201000000
54033001430424
6244221142304
734033503100
oct7423410000
92544704464
101011748864
1147a118995
122429ba994
131317c1a89
1498529200
155dc52694
hex3c4e1000

1011748864 has 117 divisors (see below), whose sum is σ = 2387193231. Its totient is φ = 427499520.

The previous prime is 1011748823. The next prime is 1011748877. The reversal of 1011748864 is 4688471101.

The square root of 1011748864 is 31808.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14249949 + ... + 14250019.

Almost surely, 21011748864 is an apocalyptic number.

1011748864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1011748864 is the 31808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011748864

1011748864 is an abundant number, since it is smaller than the sum of its proper divisors (1375444367).

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

1011748864 is an frugal number, since it uses more digits than its factorization.

1011748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The cubic root of 1011748864 is about 1003.9010500198.

The spelling of 1011748864 in words is "one billion, eleven million, seven hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 256 284 392 448 497 512 568 784 896 994 1024 1136 1568 1792 1988 2048 2272 3136 3479 3584 3976 4096 4544 5041 6272 6958 7168 7952 9088 10082 12544 13916 14336 15904 18176 20164 25088 27832 28672 31808 35287 36352 40328 50176 55664 63616 70574 72704 80656 100352 111328 127232 141148 145408 161312 200704 222656 247009 254464 282296 290816 322624 445312 494018 508928 564592 645248 890624 988036 1017856 1129184 1290496 1781248 1976072 2035712 2258368 2580992 3562496 3952144 4516736 5161984 7124992 7904288 9033472 10323968 14249984 15808576 18066944 20647936 31617152 36133888 63234304 72267776 126468608 144535552 252937216 505874432 1011748864