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21441503648 = 2519312694229
BaseRepresentation
bin10011111110000000…
…110110000110100000
32001100021222020111202
4103332000312012200
5322403011104043
613503341500332
71356224526305
oct237600660640
961307866452
1021441503648
119103196054
1241a48716a8
132039228486
14107591d0ac
158575ad1b8
hex4fe0361a0

21441503648 has 96 divisors (see below), whose sum is σ = 46049472000. Its totient is φ = 9790018560.

The previous prime is 21441503581. The next prime is 21441503653. The reversal of 21441503648 is 84630514412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 5067998 + ... + 5072226.

It is an arithmetic number, because the mean of its divisors is an integer number (479682000).

Almost surely, 221441503648 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 21441503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024736000).

21441503648 is an abundant number, since it is smaller than the sum of its proper divisors (24607968352).

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

21441503648 is a wasteful number, since it uses less digits than its factorization.

21441503648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 21441503648 in words is "twenty-one billion, four hundred forty-one million, five hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 269 304 496 538 589 608 992 1076 1178 2152 2356 4229 4304 4712 5111 8339 8458 8608 9424 10222 16678 16916 18848 20444 33356 33832 40888 66712 67664 80351 81776 131099 133424 135328 158441 160702 163552 262198 266848 316882 321404 524396 633764 642808 1048792 1137601 1267528 1285616 2097584 2275202 2490881 2535056 2571232 4195168 4550404 4981762 5070112 9100808 9963524 18201616 19927048 21614419 35265631 36403232 39854096 43228838 70531262 79708192 86457676 141062524 172915352 282125048 345830704 564250096 670046989 691661408 1128500192 1340093978 2680187956 5360375912 10720751824 21441503648