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45994972905 = 3357103472543
BaseRepresentation
bin101010110101100000…
…111001011011101001
311101201110122201022000
4222311200321123221
51223144203113110
633044011521213
73215540550630
oct526540713351
9141643581260
1045994972905
1118562a65a02
128ab7759209
1344500ab0cb
14232486c517
1512e2e7a1c0
hexab58396e9

45994972905 has 64 divisors (see below), whose sum is σ = 94357585920. Its totient is φ = 20822090688.

The previous prime is 45994972901. The next prime is 45994972939. The reversal of 45994972905 is 50927949954.

45994972905 is a `hidden beast` number, since 4 + 59 + 9 + 497 + 2 + 90 + 5 = 666.

It is not a de Polignac number, because 45994972905 - 22 = 45994972901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45994972901) 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 63 ways as a sum of consecutive naturals, for example, 138937 + ... + 333606.

It is an arithmetic number, because the mean of its divisors is an integer number (1474337280).

Almost surely, 245994972905 is an apocalyptic number.

45994972905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45994972905 is an abundant number, since it is smaller than the sum of its proper divisors (48362613015).

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

45994972905 is a wasteful number, since it uses less digits than its factorization.

45994972905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472667 (or 472661 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 45994972905 in words is "forty-five billion, nine hundred ninety-four million, nine hundred seventy-two thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 927 945 1545 2163 2781 3605 4635 6489 10815 13905 19467 32445 97335 472543 1417629 2362715 3307801 4252887 7088145 9923403 12758661 16539005 21264435 29770209 48671929 49617015 63793305 89310627 146015787 148851045 243359645 340703503 438047361 446553135 730078935 1022110509 1314142083 1703517515 2190236805 3066331527 5110552545 6570710415 9198994581 15331657635 45994972905