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1245374870768 = 247314161143419
BaseRepresentation
bin10010000111110110001…
…000000111010011110000
311102001112022112101001122
4102013312020013103300
5130401011431331033
62352041201321412
7155655356512010
oct22076610072360
94361468471048
101245374870768
11440184714096
12181441636268
139059107c472
14443c2899c40
15225dd4c6a98
hex121f62074f0

1245374870768 has 160 divisors (see below), whose sum is σ = 2963823636480. Its totient is φ = 495652608000.

The previous prime is 1245374870731. The next prime is 1245374870837. The reversal of 1245374870768 is 8670784735421.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 1245374870768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8611763 + ... + 8755181.

It is an arithmetic number, because the mean of its divisors is an integer number (18523897728).

Almost surely, 21245374870768 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 1245374870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481911818240).

1245374870768 is an abundant number, since it is smaller than the sum of its proper divisors (1718448765712).

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

1245374870768 is a wasteful number, since it uses less digits than its factorization.

1245374870768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143567 (or 143561 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 62.

The spelling of 1245374870768 in words is "one trillion, two hundred forty-five billion, three hundred seventy-four million, eight hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 61 62 82 112 122 124 164 217 244 248 287 328 427 434 488 496 574 656 854 868 976 1148 1271 1708 1736 1891 2296 2501 2542 3416 3472 3782 4592 5002 5084 6832 7564 8897 10004 10168 13237 15128 17507 17794 20008 20336 26474 30256 35014 35588 40016 52948 70028 71176 77531 105896 140056 142352 143419 155062 211792 280112 286838 310124 542717 573676 620248 1003933 1085434 1147352 1240496 2007866 2170868 2294704 4015732 4341736 4445989 5880179 8031464 8683472 8748559 8891978 11760358 16062928 17497118 17783956 23520716 31121923 34994236 35567912 41161253 47041432 61239913 62243846 69988472 71135824 82322506 94082864 122479826 124487692 139976944 164645012 182285549 244959652 248975384 271205329 329290024 358690919 364571098 489919304 497950768 542410658 658580048 717381838 729142196 979838608 1084821316 1275998843 1434763676 1458284392 1898437303 2169642632 2510836433 2551997686 2869527352 2916568784 3796874606 4339285264 5021672866 5103995372 5739054704 7593749212 10043345732 10207990744 11119418489 15187498424 20086691464 20415981488 22238836978 30374996848 40173382928 44477673956 77835929423 88955347912 155671858846 177910695824 311343717692 622687435384 1245374870768