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21281376248 = 2311318279433
BaseRepresentation
bin10011110100011110…
…000000011111111000
32000221010122221000022
4103310132000133320
5322041013014443
613435421430012
71352241466466
oct236436003770
960833587008
1021281376248
119030866a60
12415b10b308
132011cc1a32
14105c559836
158484cce68
hex4f47807f8

21281376248 has 64 divisors (see below), whose sum is σ = 44993387520. Its totient is φ = 9348998400.

The previous prime is 21281376199. The next prime is 21281376283. The reversal of 21281376248 is 84267318212.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 21281376199 and 21281376208.

It is a congruent number.

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, 2251340 + ... + 2260772.

It is an arithmetic number, because the mean of its divisors is an integer number (703021680).

Almost surely, 221281376248 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 21281376248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22496693760).

21281376248 is an abundant number, since it is smaller than the sum of its proper divisors (23712011272).

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

21281376248 is a wasteful number, since it uses less digits than its factorization.

21281376248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308 (or 10304 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The spelling of 21281376248 in words is "twenty-one billion, two hundred eighty-one million, three hundred seventy-six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 827 1364 1654 2728 3308 6616 9097 9433 18194 18866 25637 36388 37732 51274 72776 75464 102548 103763 205096 207526 282007 292423 415052 564014 584846 830104 1128028 1169692 2256056 2339384 3216653 6433306 7801091 12866612 15602182 25733224 31204364 62408728 85812001 171624002 241833821 343248004 483667642 686496008 967335284 1934670568 2660172031 5320344062 10640688124 21281376248