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21287232768 = 283193147059
BaseRepresentation
bin10011110100110100…
…010110010100000000
32000221112200110122110
4103310310112110000
5322044012422033
613440151135320
71352342331054
oct236464262400
960845613573
1021287232768
1190340a705a
124161074540
132013292629
14105d241c64
15848c88363
hex4f4d16500

21287232768 has 144 divisors (see below), whose sum is σ = 61562009600. Its totient is φ = 6505297920.

The previous prime is 21287232763. The next prime is 21287232779. The reversal of 21287232768 is 86723278212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21287232763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428823 + ... + 475881.

Almost surely, 221287232768 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 21287232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30781004800).

21287232768 is an abundant number, since it is smaller than the sum of its proper divisors (40274776832).

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

21287232768 is a wasteful number, since it uses less digits than its factorization.

21287232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47128 (or 47114 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 21287232768 in words is "twenty-one billion, two hundred eighty-seven million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 589 608 744 768 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2976 3534 3648 3968 4712 4864 5952 7068 7296 7936 9424 11904 14136 14592 18848 23808 28272 37696 47059 56544 75392 94118 113088 141177 150784 188236 226176 282354 376472 452352 564708 752944 894121 1129416 1458829 1505888 1788242 2258832 2682363 2917658 3011776 3576484 4376487 4517664 5364726 5835316 6023552 7152968 8752974 9035328 10729452 11670632 12047104 14305936 17505948 18070656 21458904 23341264 27717751 28611872 35011896 36141312 42917808 46682528 55435502 57223744 70023792 83153253 85835616 93365056 110871004 114447488 140047584 166306506 171671232 186730112 221742008 228894976 280095168 332613012 343342464 373460224 443484016 560190336 665226024 686684928 886968032 1120380672 1330452048 1773936064 2660904096 3547872128 5321808192 7095744256 10643616384 21287232768