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21992431608 = 23337107135937
BaseRepresentation
bin10100011110110110…
…011101111111111000
32002202200122021121000
4110132312131333320
5330020030302413
614034142045000
71405664404260
oct243666357770
962680567530
1021992431608
119366177414
124319279760
1320c6402154
1410c8b707a0
1588ab36073
hex51ed9dff8

21992431608 has 128 divisors (see below), whose sum is σ = 70470259200. Its totient is φ = 6224781312.

The previous prime is 21992431589. The next prime is 21992431613. The reversal of 21992431608 is 80613429912.

21992431608 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 2 + 4 + 31 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93816 + ... + 229752.

It is an arithmetic number, because the mean of its divisors is an integer number (550548900).

Almost surely, 221992431608 is an apocalyptic number.

21992431608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21992431608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35235129600).

21992431608 is an abundant number, since it is smaller than the sum of its proper divisors (48477827592).

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

21992431608 is a wasteful number, since it uses less digits than its factorization.

21992431608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136066 (or 136056 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 21992431608 in words is "twenty-one billion, nine hundred ninety-two million, four hundred thirty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 963 1284 1498 1512 1926 2247 2568 2889 2996 3852 4494 5778 5992 6741 7704 8988 11556 13482 17976 20223 23112 26964 40446 53928 80892 135937 161784 271874 407811 543748 815622 951559 1087496 1223433 1631244 1903118 2446866 2854677 3262488 3670299 3806236 4893732 5709354 7340598 7612472 8564031 9787464 11418708 14545259 14681196 17128062 22837416 25692093 29090518 29362392 34256124 43635777 51384186 58181036 68512248 87271554 101816813 102768372 116362072 130907331 174543108 203633626 205536744 261814662 305450439 349086216 392721993 407267252 523629324 610900878 785443986 814534504 916351317 1047258648 1221801756 1570887972 1832702634 2443603512 2749053951 3141775944 3665405268 5498107902 7330810536 10996215804 21992431608