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21435138768 = 243863517457
BaseRepresentation
bin10011111101101000…
…100100001011010000
32001022211222212112110
4103331220210023100
5322344343420033
613502553225320
71356116446641
oct237550441320
961284885473
1021435138768
1190aa63901a
1241a2702240
132037b0a384
141074b436c8
15856c52363
hex4fda242d0

21435138768 has 40 divisors (see below), whose sum is σ = 55438380288. Its totient is φ = 7136753152.

The previous prime is 21435138749. The next prime is 21435138833. The reversal of 21435138768 is 86783153412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217305 + ... + 300152.

Almost surely, 221435138768 is an apocalyptic number.

It is an amenable number.

21435138768 is an abundant number, since it is smaller than the sum of its proper divisors (34003241520).

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

21435138768 is a wasteful number, since it uses less digits than its factorization.

21435138768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518331 (or 518325 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 21435138768 in words is "twenty-one billion, four hundred thirty-five million, one hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 863 1726 2589 3452 5178 6904 10356 13808 20712 41424 517457 1034914 1552371 2069828 3104742 4139656 6209484 8279312 12418968 24837936 446565391 893130782 1339696173 1786261564 2679392346 3572523128 5358784692 7145046256 10717569384 21435138768