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1357361768 = 237107359631
BaseRepresentation
bin101000011100111…
…1011001001101000
310111121010010022002
41100321323021220
510234441034033
6342404550132
745431245640
oct12071731150
93447103262
101357361768
11637216a94
1231a6b2348
131882a0159
14cc3b3520
157e2713e8
hex50e7b268

1357361768 has 64 divisors (see below), whose sum is σ = 2948659200. Its totient is φ = 573773760.

The previous prime is 1357361713. The next prime is 1357361773. The reversal of 1357361768 is 8671637531.

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, 2150813 + ... + 2151443.

It is an arithmetic number, because the mean of its divisors is an integer number (46072800).

Almost surely, 21357361768 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 1357361768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474329600).

1357361768 is an abundant number, since it is smaller than the sum of its proper divisors (1591297432).

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

1357361768 is a wasteful number, since it uses less digits than its factorization.

1357361768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 1357361768 is about 36842.3909104716. The cubic root of 1357361768 is about 1107.2147707504.

The spelling of 1357361768 in words is "one billion, three hundred fifty-seven million, three hundred sixty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 214 359 428 631 718 749 856 1262 1436 1498 2513 2524 2872 2996 4417 5026 5048 5992 8834 10052 17668 20104 35336 38413 67517 76826 135034 153652 226529 268891 270068 307304 453058 472619 537782 540136 906116 945238 1075564 1585703 1812232 1890476 2151128 3171406 3780952 6342812 12685624 24238603 48477206 96954412 169670221 193908824 339340442 678680884 1357361768