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46904706912 = 2537103677657
BaseRepresentation
bin101011101011101111…
…010000011101100000
311111001212110222202010
4223223233100131200
51232030101110122
633314150352520
73250225300440
oct535357203540
9144055428663
1046904706912
111898a536598
12911035b740
13456670225b
1423ad600120
151347c7ae0c
hexaebbd0760

46904706912 has 96 divisors (see below), whose sum is σ = 142080486912. Its totient is φ = 13271215104.

The previous prime is 46904706911. The next prime is 46904706913. The reversal of 46904706912 is 21960740964.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46904706911) and next prime (46904706913).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46904706911) 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 15 ways as a sum of consecutive naturals, for example, 269613 + ... + 408044.

It is an arithmetic number, because the mean of its divisors is an integer number (1480005072).

Almost surely, 246904706912 is an apocalyptic number.

46904706912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46904706912 is an abundant number, since it is smaller than the sum of its proper divisors (95175780000).

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

46904706912 is a wasteful number, since it uses less digits than its factorization.

46904706912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677780 (or 677772 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 46904706912 in words is "forty-six billion, nine hundred four million, seven hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 17304 23072 34608 69216 677657 1355314 2032971 2710628 4065942 4743599 5421256 8131884 9487198 10842512 14230797 16263768 18974396 21685024 28461594 32527536 37948792 56923188 65055072 69798671 75897584 113846376 139597342 151795168 209396013 227692752 279194684 418792026 455385504 488590697 558389368 837584052 977181394 1116778736 1465772091 1675168104 1954362788 2233557472 2931544182 3350336208 3908725576 5863088364 6700672416 7817451152 11726176728 15634902304 23452353456 46904706912