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61136063200413 = 321741227199721499
BaseRepresentation
bin11011110011010010110010…
…10101000111110010011101
322000110112212100201200102100
431321221121111013302131
531003123124134403123
6334005304131315313
715606635432004105
oct1571513125076235
9260415770650370
1061136063200413
1118530727954363
126a346b3a4bb39
13281614bc151b6
1411150035ca205
157104515eb643
hex379a59547c9d

61136063200413 has 96 divisors (see below), whose sum is σ = 96257358288000. Its totient is φ = 37239021342720.

The previous prime is 61136063200403. The next prime is 61136063200423. The reversal of 61136063200413 is 31400236063116.

61136063200413 is a `hidden beast` number, since 6 + 1 + 1 + 3 + 6 + 0 + 632 + 0 + 0 + 4 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (61136063200403) and next prime (61136063200423).

It is not a de Polignac number, because 61136063200413 - 29 = 61136063199901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61136063200403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2843659338 + ... + 2843680836.

It is an arithmetic number, because the mean of its divisors is an integer number (1002680815500).

Almost surely, 261136063200413 is an apocalyptic number.

It is an amenable number.

61136063200413 is a deficient number, since it is larger than the sum of its proper divisors (35121295087587).

61136063200413 is a wasteful number, since it uses less digits than its factorization.

61136063200413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23787 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 61136063200413 its reverse (31400236063116), we get a palindrome (92536299263529).

The spelling of 61136063200413 in words is "sixty-one trillion, one hundred thirty-six billion, sixty-three million, two hundred thousand, four hundred thirteen".

Divisors: 1 3 9 17 41 51 123 153 227 369 681 697 1997 2043 2091 3859 5991 6273 9307 11577 17973 21499 27921 33949 34731 64497 81877 83763 101847 158219 193491 245631 305541 365483 453319 474657 736893 881459 1096449 1359957 1391909 1423971 2644377 3289347 4079871 4175727 4880273 7706423 7933131 12527181 14640819 14984803 18586079 23119269 42933503 43922457 44954409 55758237 69357807 82964641 128800509 134863227 167274711 200091193 248893923 315963343 386401527 600273579 729869551 746681769 947890029 1760273623 1800820737 2189608653 2843670087 3401550281 5280820869 6568825959 9745905181 10204650843 15842462607 29237715543 29924651591 30613952529 87713146629 89773954773 165680388077 269321864319 399582112421 497041164231 1198746337263 1491123492693 3596239011789 6792895911157 20378687733471 61136063200413