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46911715968 = 2731317552787
BaseRepresentation
bin101011101100001001…
…111111101010000000
311111002100200002100210
4223230021333222000
51232033344402333
633315000514120
73250342002135
oct535411775200
9144070602323
1046911715968
11189934935a7
12911277b940
134567cb7620
1423b050658c
1513486b2a63
hexaec27fa80

46911715968 has 128 divisors (see below), whose sum is σ = 142088627520. Its totient is φ = 13585268736.

The previous prime is 46911715967. The next prime is 46911715969. The reversal of 46911715968 is 86951711964.

It is a happy number.

46911715968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46911715967) and next prime (46911715969).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (46911715967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191530 + ... + 361257.

Almost surely, 246911715968 is an apocalyptic number.

46911715968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46911715968 is an abundant number, since it is smaller than the sum of its proper divisors (95176911552).

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

46911715968 is a wasteful number, since it uses less digits than its factorization.

46911715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552834 (or 552822 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 46911715968 in words is "forty-six billion, nine hundred eleven million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 84864 552787 1105574 1658361 2211148 3316722 4422296 6633444 7186231 8844592 9397379 13266888 14372462 17689184 18794758 21558693 26533776 28192137 28744924 35378368 37589516 43117386 53067552 56384274 57489848 70756736 75179032 86234772 106135104 112768548 114979696 122165927 150358064 172469544 212270208 225537096 229959392 244331854 300716128 344939088 366497781 451074192 459918784 488663708 601432256 689878176 732995562 902148384 919837568 977327416 1202864512 1379756352 1465991124 1804296768 1954654832 2759512704 2931982248 3608593536 3909309664 5863964496 7818619328 11727928992 15637238656 23455857984 46911715968