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21242209608 = 23331931166967
BaseRepresentation
bin10011110010001000…
…100110010101001000
32000211101222001111000
4103302020212111020
5322001001201413
613431502135000
71351254542154
oct236210462510
960741861430
1021242209608
119010745534
124149b81460
132006b5a5c9
141057282064
15844d43073
hex4f2226548

21242209608 has 128 divisors (see below), whose sum is σ = 64115712000. Its totient is φ = 6491638080.

The previous prime is 21242209603. The next prime is 21242209633. The reversal of 21242209608 is 80690224212.

21242209608 is a `hidden beast` number, since 2 + 1 + 2 + 42 + 2 + 0 + 9 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21242209603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43741 + ... + 210707.

It is an arithmetic number, because the mean of its divisors is an integer number (500904000).

Almost surely, 221242209608 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 21242209608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32057856000).

21242209608 is an abundant number, since it is smaller than the sum of its proper divisors (42873502392).

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

21242209608 is a wasteful number, since it uses less digits than its factorization.

21242209608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167032 (or 167022 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21242209608 in words is "twenty-one billion, two hundred forty-two million, two hundred nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5301 6696 7068 10602 14136 15903 21204 31806 42408 63612 127224 166967 333934 500901 667868 1001802 1335736 1502703 2003604 3005406 3172373 4007208 4508109 5175977 6010812 6344746 9016218 9517119 10351954 12021624 12689492 15527931 18032436 19034238 20703908 25378984 28551357 31055862 36064872 38068476 41407816 46583793 57102714 62111724 76136952 85654071 93167586 98343563 114205428 124223448 139751379 171308142 186335172 196687126 228410856 279502758 295030689 342616284 372670344 393374252 559005516 590061378 685232568 786748504 885092067 1118011032 1180122756 1770184134 2360245512 2655276201 3540368268 5310552402 7080736536 10621104804 21242209608