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47237107072 = 272340140013
BaseRepresentation
bin101011111111100011…
…010000110110000000
311111221000221200001011
4223333203100312000
51233220144411242
633411143050304
73261402533221
oct537743206600
9144830850034
1047237107072
111904012a771
1291a3740994
1345ba53563c
142401809248
151367039d17
hexaff8d0d80

47237107072 has 64 divisors (see below), whose sum is σ = 98444043360. Its totient is φ = 22534758400.

The previous prime is 47237106991. The next prime is 47237107079. The reversal of 47237107072 is 27070173274.

It is a happy number.

47237107072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47237107079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160538 + ... + 1200550.

Almost surely, 247237107072 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 47237107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49222021680).

47237107072 is an abundant number, since it is smaller than the sum of its proper divisors (51206936288).

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

47237107072 is a wasteful number, since it uses less digits than its factorization.

47237107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40451 (or 40439 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The spelling of 47237107072 in words is "forty-seven billion, two hundred thirty-seven million, one hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 401 736 802 1472 1604 2944 3208 6416 9223 12832 18446 25664 36892 40013 51328 73784 80026 147568 160052 295136 320104 590272 640208 920299 1180544 1280416 1840598 2560832 3681196 5121664 7362392 14724784 16045213 29449568 32090426 58899136 64180852 117798272 128361704 256723408 369039899 513446816 738079798 1026893632 1476159596 2053787264 2952319192 5904638384 11809276768 23618553536 47237107072