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47795046912 = 293280912821
BaseRepresentation
bin101100100000110011…
…101000101000000000
311120100220210221121200
4230200303220220000
51240341013000122
633542353421200
73311256124044
oct544063505000
9146326727550
1047795046912
11192a7070178
12931a56a800
134678cc5a62
142455964024
15139aeea5ac
hexb20ce8a00

47795046912 has 120 divisors (see below), whose sum is σ = 138121020180. Its totient is φ = 15910748160.

The previous prime is 47795046883. The next prime is 47795046941. The reversal of 47795046912 is 21964059774.

47795046912 is a `hidden beast` number, since 4 + 7 + 79 + 504 + 69 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (47795046883) and next prime (47795046941).

It can be written as a sum of positive squares in 2 ways, for example, as 47635681536 + 159365376 = 218256^2 + 12624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3721462 + ... + 3734282.

Almost surely, 247795046912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47795046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69060510090).

47795046912 is an abundant number, since it is smaller than the sum of its proper divisors (90325973268).

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

47795046912 is a wasteful number, since it uses less digits than its factorization.

47795046912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 47795046912 in words is "forty-seven billion, seven hundred ninety-five million, forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 809 1152 1536 1618 2304 2427 3236 4608 4854 6472 7281 9708 12821 12944 14562 19416 25642 25888 29124 38463 38832 51284 51776 58248 76926 77664 102568 103552 115389 116496 153852 155328 205136 207104 230778 232992 307704 310656 410272 414208 461556 465984 615408 621312 820544 923112 931968 1230816 1242624 1641088 1846224 1863936 2461632 3282176 3692448 3727872 4923264 6564352 7384896 9846528 10372189 14769792 19693056 20744378 29539584 31116567 41488756 59079168 62233134 82977512 93349701 124466268 165955024 186699402 248932536 331910048 373398804 497865072 663820096 746797608 995730144 1327640192 1493595216 1991460288 2655280384 2987190432 3982920576 5310560768 5974380864 7965841152 11948761728 15931682304 23897523456 47795046912