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413900005980 = 223583103806917
BaseRepresentation
bin1100000010111100101…
…11001110001001011100
31110120100101212211120010
412001132113032021130
523240131400142410
6514050521323220
741621554000536
oct6013627161134
91416311784503
10413900005980
1114a59684364a
1268272336510
1330052309356
141606628a856
15ab76d78c20
hex605e5ce25c

413900005980 has 96 divisors (see below), whose sum is σ = 1184271588864. Its totient is φ = 107984726784.

The previous prime is 413900005931. The next prime is 413900005993. The reversal of 413900005980 is 89500009314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109482 + ... + 916398.

It is an arithmetic number, because the mean of its divisors is an integer number (12336162384).

Almost surely, 2413900005980 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 413900005980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592135794432).

413900005980 is an abundant number, since it is smaller than the sum of its proper divisors (770371582884).

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

413900005980 is a wasteful number, since it uses less digits than its factorization.

413900005980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807115 (or 807113 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 413900005980 in words is "four hundred thirteen billion, nine hundred million, five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 103 166 206 249 309 332 412 415 498 515 618 830 996 1030 1236 1245 1545 1660 2060 2490 3090 4980 6180 8549 17098 25647 34196 42745 51294 85490 102588 128235 170980 256470 512940 806917 1613834 2420751 3227668 4034585 4841502 8069170 9683004 12103755 16138340 24207510 48415020 66974111 83112451 133948222 166224902 200922333 249337353 267896444 332449804 334870555 401844666 415562255 498674706 669741110 803689332 831124510 997349412 1004611665 1246686765 1339482220 1662249020 2009223330 2493373530 4018446660 4986747060 6898333433 13796666866 20695000299 27593333732 34491667165 41390000598 68983334330 82780001196 103475001495 137966668660 206950002990 413900005980