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10212476904 = 2332722999817
BaseRepresentation
bin10011000001011011…
…00000011111101000
3222100201120120122100
421200231200133220
5131403343230104
64405212453400
7511034423100
oct114055403750
928321516570
1010212476904
11437074a063
121b9017a260
13c69a22856
146cc472200
153eb87e139
hex260b607e8

10212476904 has 144 divisors (see below), whose sum is σ = 33284312100. Its totient is φ = 2817206784.

The previous prime is 10212476887. The next prime is 10212476917. The reversal of 10212476904 is 40967421201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10118348100 + 94128804 = 100590^2 + 9702^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52404 + ... + 152220.

Almost surely, 210212476904 is an apocalyptic number.

10212476904 is a gapful number since it is divisible by the number (14) 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 10212476904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642156050).

10212476904 is an abundant number, since it is smaller than the sum of its proper divisors (23071835196).

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

10212476904 is a wasteful number, since it uses less digits than its factorization.

10212476904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99872 (or 99858 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10212476904 in words is "ten billion, two hundred twelve million, four hundred seventy-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 4263 4872 5684 7308 8526 11368 12789 14616 17052 25578 34104 51156 99817 102312 199634 299451 399268 598902 698719 798536 898353 1197804 1397438 1796706 2096157 2395608 2794876 2894693 3593412 4192314 4891033 5589752 5789386 6288471 7186824 8384628 8684079 9782066 11578772 12576942 14673099 16769256 17368158 19564132 20262851 23157544 25153884 26052237 29346198 34736316 39128264 40525702 44019297 50307768 52104474 58692396 60788553 69472632 81051404 88038594 104208948 117384792 121577106 141839957 162102808 176077188 182365659 208417896 243154212 283679914 352154376 364731318 425519871 486308424 567359828 729462636 851039742 1134719656 1276559613 1458925272 1702079484 2553119226 3404158968 5106238452 10212476904