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41306478960 = 24351710124137
BaseRepresentation
bin100110011110000011…
…101101100101110000
310221121201102112201010
4212132003231211300
51134043424311320
630550445110520
72661420164235
oct463603554560
9127551375633
1041306478960
111657748101a
128009558440
133b83948536
141ddbcd778c
15111b556ae0
hex99e0ed970

41306478960 has 80 divisors (see below), whose sum is σ = 135582456096. Its totient is φ = 10367115264.

The previous prime is 41306478929. The next prime is 41306478979. The reversal of 41306478960 is 6987460314.

41306478960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5057989 + ... + 5066148.

Almost surely, 241306478960 is an apocalyptic number.

41306478960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41306478960 is an abundant number, since it is smaller than the sum of its proper divisors (94275977136).

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

41306478960 is a wasteful number, since it uses less digits than its factorization.

41306478960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124170 (or 10124164 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 41306478960 in words is "forty-one billion, three hundred six million, four hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 10124137 20248274 30372411 40496548 50620685 60744822 80993096 101241370 121489644 151862055 161986192 172110329 202482740 242979288 303724110 344220658 404965480 485958576 516330987 607448220 688441316 809930960 860551645 1032661974 1214896440 1376882632 1721103290 2065323948 2429792880 2581654935 2753765264 3442206580 4130647896 5163309870 6884413160 8261295792 10326619740 13768826320 20653239480 41306478960