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98507505005 = 57213213211801
BaseRepresentation
bin101101110111110000…
…0010011110101101101
3100102021011020202000022
41123233200103311231
53103220410130010
6113130445411525
710055051656100
oct1335740236555
9312234222008
1098507505005
113885aa11568
1217111b69ba5
13939b547500
144aa6b52737
1528681c3d55
hex16ef813d6d

98507505005 has 72 divisors (see below), whose sum is σ = 149095122984. Its totient is φ = 62270208000.

The previous prime is 98507505001. The next prime is 98507505029. The reversal of 98507505005 is 50050570589.

It can be written as a sum of positive squares in 12 ways, for example, as 51473173129 + 47034331876 = 226877^2 + 216874^2 .

It is not a de Polignac number, because 98507505005 - 22 = 98507505001 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98507505001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54695105 + ... + 54696905.

It is an arithmetic number, because the mean of its divisors is an integer number (2070765597).

Almost surely, 298507505005 is an apocalyptic number.

It is an amenable number.

98507505005 is a deficient number, since it is larger than the sum of its proper divisors (50587617979).

98507505005 is a wasteful number, since it uses less digits than its factorization.

98507505005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 44.

The spelling of 98507505005 in words is "ninety-eight billion, five hundred seven million, five hundred five thousand, five".

Divisors: 1 5 7 13 35 49 65 91 169 245 455 637 845 1183 1321 1801 3185 5915 6605 8281 9005 9247 12607 17173 23413 41405 46235 63035 64729 85865 88249 117065 120211 163891 223249 304369 323645 441245 601055 819455 841477 1116245 1147237 1521845 1562743 2130583 2379121 4207385 5736185 7813715 10652915 10939201 11895605 14914081 16653847 30928573 54696005 74570405 83269235 116576929 154642865 216500011 402071449 582884645 1082500055 1515500077 2010357245 2814500143 7577500385 14072500715 19701501001 98507505005