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472720415040 = 2633554713011
BaseRepresentation
bin1101110000100000101…
…01010001100101000000
31200012011200212012202000
412320100111101211000
530221112411240130
61001055331024000
746103311141566
oct6702025214500
91605150765660
10472720415040
11172530394565
127774913b000
1335767569723
1418c46203a36
15c46ac73260
hex6e10551940

472720415040 has 112 divisors (see below), whose sum is σ = 1667652605760. Its totient is φ = 126058775040.

The previous prime is 472720415023. The next prime is 472720415051. The reversal of 472720415040 is 40514027274.

472720415040 is a `hidden beast` number, since 47 + 2 + 72 + 0 + 41 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 472720414986 and 472720415004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27347866 + ... + 27365145.

Almost surely, 2472720415040 is an apocalyptic number.

472720415040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472720415040 is an abundant number, since it is smaller than the sum of its proper divisors (1194932190720).

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

472720415040 is a wasteful number, since it uses less digits than its factorization.

472720415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54713037 (or 54713021 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 472720415040 in words is "four hundred seventy-two billion, seven hundred twenty million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 54713011 109426022 164139033 218852044 273565055 328278066 437704088 492417099 547130110 656556132 820695165 875408176 984834198 1094260220 1313112264 1477251297 1641390330 1750816352 1969668396 2188520440 2462085495 2626224528 2954502594 3282780660 3501632704 3939336792 4377040880 4924170990 5252449056 5909005188 6565561320 7386256485 7878673584 8754081760 9848341980 10504898112 11818010376 13131122640 14772512970 15757347168 17508163520 19696683960 23636020752 26262245280 29545025940 31514694336 39393367920 47272041504 52524490560 59090051880 78786735840 94544083008 118180103760 157573471680 236360207520 472720415040