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10476991400 = 2352197613623
BaseRepresentation
bin10011100000111101…
…00011001110101000
31000001011022022022112
421300132203032220
5132424102211100
64451342141452
7520425646301
oct116036431650
930034268275
1010476991400
114496a96787
122044881888
13cac7778c5
147156497a8
15414bcdb35
hex2707a33a8

10476991400 has 96 divisors (see below), whose sum is σ = 25681838400. Its totient is φ = 3963916800.

The previous prime is 10476991391. The next prime is 10476991451. The reversal of 10476991400 is 419967401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889989 + ... + 2893611.

It is an arithmetic number, because the mean of its divisors is an integer number (267519150).

Almost surely, 210476991400 is an apocalyptic number.

10476991400 is a gapful number since it is divisible by the number (10) 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 10476991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840919200).

10476991400 is an abundant number, since it is smaller than the sum of its proper divisors (15204847000).

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

10476991400 is a wasteful number, since it uses less digits than its factorization.

10476991400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 10476991400 in words is "ten billion, four hundred seventy-six million, nine hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 761 950 1522 1900 3044 3623 3800 3805 6088 7246 7610 14459 14492 15220 18115 19025 28918 28984 30440 36230 38050 57836 68837 72295 72460 76100 90575 115672 137674 144590 144920 152200 181150 275348 289180 344185 361475 362300 550696 578360 688370 722950 724600 1376740 1445900 1720925 2753480 2757103 2891800 3441850 5514206 6883700 11028412 13767400 13785515 22056824 27571030 52384957 55142060 68927575 104769914 110284120 137855150 209539828 261924785 275710300 419079656 523849570 551420600 1047699140 1309623925 2095398280 2619247850 5238495700 10476991400