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331930012481664 = 2737910941785749
BaseRepresentation
bin100101101111000110111101…
…0011110111111100010000000
31121112021012101021121220001120
41023132031322132333202000
5322001320131143403124
63133542313113032240
7126626103066451362
oct11336157236774200
91545235337556046
10331930012481664
1196843800714a13
123128a3156b5680
1311329b3441108c
145bd76d9588d32
1528593dc16cd79
hex12de37a7bf880

331930012481664 has 64 divisors (see below), whose sum is σ = 892849717200000. Its totient is φ = 109242788908032.

The previous prime is 331930012481597. The next prime is 331930012481687. The reversal of 331930012481664 is 466184210039133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3319300124816642 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5470862539 + ... + 5470923210.

It is an arithmetic number, because the mean of its divisors is an integer number (13950776831250).

Almost surely, 2331930012481664 is an apocalyptic number.

It is an amenable number.

331930012481664 is an abundant number, since it is smaller than the sum of its proper divisors (560919704718336).

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

331930012481664 is a wasteful number, since it uses less digits than its factorization.

331930012481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941785845 (or 10941785833 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 331930012481664 in words is "three hundred thirty-one trillion, nine hundred thirty billion, twelve million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 10941785749 21883571498 32825357247 43767142996 65650714494 87534285992 131301428988 175068571984 262602857976 350137143968 525205715952 700274287936 864401074171 1050411431904 1400548575872 1728802148342 2100822863808 2593203222513 3457604296684 4201645727616 5186406445026 6915208593368 10372812890052 13830417186736 20745625780104 27660834373472 41491251560208 55321668746944 82982503120416 110643337493888 165965006240832 331930012481664