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46130755968 = 2732113640369
BaseRepresentation
bin101010111101100110…
…110111100110000000
311102001221011012122100
4222331212313212000
51223433433142333
633105302110400
73222106645623
oct527546674600
9142057135570
1046130755968
1118622677810
128b3511b400
13447226cc0b
1423388d5dba
1512eed4c213
hexabd9b7980

46130755968 has 96 divisors (see below), whose sum is σ = 144813918600. Its totient is φ = 13979013120.

The previous prime is 46130755963. The next prime is 46130755969. The reversal of 46130755968 is 86955703164.

46130755968 is a `hidden beast` number, since 46 + 1 + 3 + 0 + 7 + 5 + 596 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46130755963) 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 11 ways as a sum of consecutive naturals, for example, 1807513 + ... + 1832856.

Almost surely, 246130755968 is an apocalyptic number.

46130755968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46130755968 is an abundant number, since it is smaller than the sum of its proper divisors (98683162632).

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

46130755968 is a wasteful number, since it uses less digits than its factorization.

46130755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640400 (or 3640385 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 46130755968 in words is "forty-six billion, one hundred thirty million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 3640369 7280738 10921107 14561476 21842214 29122952 32763321 40044059 43684428 58245904 65526642 80088118 87368856 116491808 120132177 131053284 160176236 174737712 232983616 240264354 262106568 320352472 349475424 360396531 465967232 480528708 524213136 640704944 698950848 720793062 961057416 1048426272 1281409888 1397901696 1441586124 1922114832 2096852544 2562819776 2883172248 3844229664 4193705088 5125639552 5766344496 7688459328 11532688992 15376918656 23065377984 46130755968