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10020454272 = 27345916381
BaseRepresentation
bin10010101010100001…
…11111111110000000
3221212100020211010000
421111100333332000
5131010214014042
64334153040000
7503213312253
oct112520777600
927770224100
1010020454272
114282315674
121b379b6000
13c38ccc5aa
146b0b6909a
153d9a9d74c
hex25543ff80

10020454272 has 160 divisors (see below), whose sum is σ = 30327996600. Its totient is φ = 3283338240.

The previous prime is 10020454253. The next prime is 10020454333. The reversal of 10020454272 is 27245402001.

10020454272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 603522 + ... + 619902.

Almost surely, 210020454272 is an apocalyptic number.

10020454272 is a gapful number since it is divisible by the number (12) 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 10020454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163998300).

10020454272 is an abundant number, since it is smaller than the sum of its proper divisors (20307542328).

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

10020454272 is an equidigital number, since it uses as much as digits as its factorization.

10020454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16466 (or 16445 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 10020454272 its reverse (27245402001), we get a palindrome (37265856273).

The spelling of 10020454272 in words is "ten billion, twenty million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 128 144 162 177 192 216 236 288 324 354 384 432 472 531 576 648 708 864 944 1062 1152 1296 1416 1593 1728 1888 2124 2592 2832 3186 3456 3776 4248 4779 5184 5664 6372 7552 8496 9558 10368 11328 12744 16381 16992 19116 22656 25488 32762 33984 38232 49143 50976 65524 67968 76464 98286 101952 131048 147429 152928 196572 203904 262096 294858 305856 393144 442287 524192 589716 611712 786288 884574 966479 1048384 1179432 1326861 1572576 1769148 1932958 2096768 2358864 2653722 2899437 3145152 3538296 3865916 4717728 5307444 5798874 6290304 7076592 7731832 8698311 9435456 10614888 11597748 14153184 15463664 17396622 18870912 21229776 23195496 26094933 28306368 30927328 34793244 42459552 46390992 52189866 56612736 61854656 69586488 78284799 84919104 92781984 104379732 123709312 139172976 156569598 169838208 185563968 208759464 278345952 313139196 371127936 417518928 556691904 626278392 835037856 1113383808 1252556784 1670075712 2505113568 3340151424 5010227136 10020454272