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1023216430656 = 26371285359233
BaseRepresentation
bin11101110001111000111…
…00111010111001000000
310121211002201020022010010
432320330130322321000
5113231021401240111
62102020435104520
7133632154104540
oct16707434727100
93554081208103
101023216430656
11364a41aaa972
12146381142140
1375648145884
1437749993320
151b939a78aa6
hexee3c73ae40

1023216430656 has 112 divisors (see below), whose sum is σ = 3094304549504. Its totient is φ = 292319870976.

The previous prime is 1023216430567. The next prime is 1023216430661. The reversal of 1023216430656 is 6560346123201.

It is a tau number, because it is divible by the number of its divisors (112).

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, 17244816 + ... + 17304048.

It is an arithmetic number, because the mean of its divisors is an integer number (27627719192).

Almost surely, 21023216430656 is an apocalyptic number.

1023216430656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1023216430656 is an abundant number, since it is smaller than the sum of its proper divisors (2071088118848).

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

1023216430656 is a wasteful number, since it uses less digits than its factorization.

1023216430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72108 (or 72098 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 1023216430656 in words is "one trillion, twenty-three billion, two hundred sixteen million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 12853 25706 38559 51412 59233 77118 89971 102824 118466 154236 177699 179942 205648 236932 269913 308472 355398 359884 411296 414631 473864 539826 616944 710796 719768 822592 829262 947728 1079652 1233888 1243893 1421592 1439536 1658524 1895456 2159304 2467776 2487786 2843184 2879072 3317048 3790912 4318608 4975572 5686368 5758144 6634096 8637216 9951144 11372736 13268192 17274432 19902288 26536384 39804576 79609152 761321749 1522643498 2283965247 3045286996 4567930494 5329252243 6090573992 9135860988 10658504486 12181147984 15987756729 18271721976 21317008972 24362295968 31975513458 36543443952 42634017944 48724591936 63951026916 73086887904 85268035888 127902053832 146173775808 170536071776 255804107664 341072143552 511608215328 1023216430656