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472903235952 = 243721861108041
BaseRepresentation
bin1101110000110110011…
…10101011100101110000
31200012122102212110212220
412320123032223211300
530222001212022302
61001125421321040
746110661116300
oct6703316534560
91605572773786
10472903235952
11172614603624
127779a406180
13357963ba594
1418c625d3600
15c47bd374bc
hex6e1b3ab970

472903235952 has 120 divisors (see below), whose sum is σ = 1421899273872. Its totient is φ = 135041356800.

The previous prime is 472903235933. The next prime is 472903235971. The reversal of 472903235952 is 259532309274.

It is an interprime number because it is at equal distance from previous prime (472903235933) and next prime (472903235971).

It is a junction number, because it is equal to n+sod(n) for n = 472903235895 and 472903235904.

It is a congruent number.

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, 4323052 + ... + 4431092.

Almost surely, 2472903235952 is an apocalyptic number.

472903235952 is a gapful number since it is divisible by the number (42) 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 472903235952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710949636936).

472903235952 is an abundant number, since it is smaller than the sum of its proper divisors (948996037920).

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

472903235952 is a wasteful number, since it uses less digits than its factorization.

472903235952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109927 (or 109914 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 472903235952 in words is "four hundred seventy-two billion, nine hundred three million, two hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1861 2352 3722 5583 7444 11166 13027 14888 22332 26054 29776 39081 44664 52108 78162 89328 91189 104216 108041 156324 182378 208432 216082 273567 312648 324123 364756 432164 547134 625296 648246 729512 756287 864328 1094268 1296492 1459024 1512574 1728656 2188536 2268861 2592984 3025148 4377072 4537722 5185968 5294009 6050296 9075444 10588018 12100592 15882027 18150888 21176036 31764054 36301776 42352072 63528108 84704144 127056216 201064301 254112432 402128602 603192903 804257204 1206385806 1407450107 1608514408 2412771612 2814900214 3217028816 4222350321 4825543224 5629800428 8444700642 9651086448 9852150749 11259600856 16889401284 19704301498 22519201712 29556452247 33778802568 39408602996 59112904494 67557605136 78817205992 118225808988 157634411984 236451617976 472903235952