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46975372136 = 23721121377229
BaseRepresentation
bin101011101111111100…
…110100101101101000
311111020210110011012122
4223233330310231220
51232201143402021
633325153130412
73252044034500
oct535774645550
9144223404178
1046975372136
1118a16411400
12912bb59a08
1345782447b4
1423b8b56a00
15134e088bab
hexaeff34b68

46975372136 has 144 divisors (see below), whose sum is σ = 113458004100. Its totient is φ = 18165987840.

The previous prime is 46975372123. The next prime is 46975372159. The reversal of 46975372136 is 63127357964.

It can be written as a sum of positive squares in 2 ways, for example, as 39404632036 + 7570740100 = 198506^2 + 87010^2 .

It is a congruent number.

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, 6494570 + ... + 6501798.

Almost surely, 246975372136 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 46975372136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729002050).

46975372136 is an abundant number, since it is smaller than the sum of its proper divisors (66482631964).

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

46975372136 is a wasteful number, since it uses less digits than its factorization.

46975372136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7386 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 53.

The spelling of 46975372136 in words is "forty-six billion, nine hundred seventy-five million, three hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 137 154 196 242 274 308 392 484 539 548 616 847 959 968 1078 1096 1507 1694 1918 2156 3014 3388 3836 4312 5929 6028 6713 6776 7229 7672 10549 11858 12056 13426 14458 16577 21098 23716 26852 28916 33154 42196 47432 50603 53704 57832 66308 73843 79519 84392 101206 116039 132616 147686 159038 202412 232078 295372 318076 354221 404824 464156 556633 590744 636152 708442 812273 874709 928312 990373 1113266 1416884 1624546 1749418 1980746 2226532 2833768 3249092 3498836 3896431 3961492 4453064 6122963 6498184 6932611 6997672 7792862 7922984 10894103 12245926 13865222 15585724 21788206 24491852 27730444 31171448 42860741 43576412 48528277 48983704 55460888 76258721 85721482 87152824 97056554 119835133 152517442 171442964 194113108 239670266 305034884 342885928 388226216 479340532 533811047 610069768 838845931 958681064 1067622094 1677691862 2135244188 3355383724 4270488376 5871921517 6710767448 11743843034 23487686068 46975372136