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41159648985 = 35713197920089
BaseRepresentation
bin100110010101010011…
…100110011011011001
310221020111010210211220
4212111103212123121
51133243332231420
630524122042253
72654655146430
oct462523463331
9127214123756
1041159648985
1116501604534
127b88349389
133b5c3b94b0
141dc65d6117
15110d701840
hex9954e66d9

41159648985 has 128 divisors (see below), whose sum is σ = 86403072000. Its totient is φ = 16245245952.

The previous prime is 41159648983. The next prime is 41159649017. The reversal of 41159648985 is 58984695114.

It is not a de Polignac number, because 41159648985 - 21 = 41159648983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41159648983) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2038821 + ... + 2058909.

It is an arithmetic number, because the mean of its divisors is an integer number (675024000).

Almost surely, 241159648985 is an apocalyptic number.

It is an amenable number.

41159648985 is an abundant number, since it is smaller than the sum of its proper divisors (45243423015).

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

41159648985 is a wasteful number, since it uses less digits than its factorization.

41159648985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20215.

The product of its digits is 12441600, while the sum is 60.

The spelling of 41159648985 in words is "forty-one billion, one hundred fifty-nine million, six hundred forty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 79 91 95 105 133 195 237 247 273 285 395 399 455 553 665 741 1027 1185 1235 1365 1501 1659 1729 1995 2765 3081 3705 4503 5135 5187 7189 7505 8295 8645 10507 15405 19513 20089 21567 22515 25935 31521 35945 52535 58539 60267 97565 100445 107835 136591 140623 157605 261157 292695 301335 381691 409773 421869 682955 703115 783471 1145073 1305785 1587031 1828099 1908455 2048865 2109345 2671837 3917355 4761093 4961983 5484297 5725365 7935155 8015511 9140495 11109217 13359185 14885949 20631403 23805465 24809915 27421485 30153589 33327651 34733881 40077555 55546085 61894209 74429745 90460767 103157015 104201643 144419821 150767945 166638255 173669405 211075123 309471045 391996657 433259463 452303835 521008215 633225369 722099105 1055375615 1175989971 1959983285 2166297315 2743976599 3166126845 5879949855 8231929797 13719882995 41159648985