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3930635487744 = 29327121857499
BaseRepresentation
bin111001001100101100001…
…000011100101000000000
3111220202122202010101100200
4321030230020130220000
51003344420141101434
612205413051445200
7553656545245320
oct71145410345000
914822582111320
103930635487744
111285a78296989
12535949a56800
13226871223744
14d835acab280
156c3a1577199
hex3932c21ca00

3930635487744 has 120 divisors (see below), whose sum is σ = 12964663140000. Its totient is φ = 1123038701568.

The previous prime is 3930635487673. The next prime is 3930635487749. The reversal of 3930635487744 is 4477845360393.

It is a happy number.

3930635487744 is a `hidden beast` number, since 3 + 93 + 0 + 63 + 5 + 487 + 7 + 4 + 4 = 666.

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 (3930635487749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60896494 + ... + 60961005.

It is an arithmetic number, because the mean of its divisors is an integer number (108038859500).

Almost surely, 23930635487744 is an apocalyptic number.

It is an amenable number.

3930635487744 is an abundant number, since it is smaller than the sum of its proper divisors (9034027652256).

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

3930635487744 is a wasteful number, since it uses less digits than its factorization.

3930635487744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121857530 (or 121857511 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 3930635487744 in words is "three trillion, nine hundred thirty billion, six hundred thirty-five million, four hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 121857499 243714998 365572497 487429996 731144994 853002493 974859992 1096717491 1462289988 1706004986 1949719984 2193434982 2559007479 2924579976 3412009972 3899439968 4386869964 5118014958 5849159952 6824019944 7677022437 7798879936 8773739928 10236029916 11698319904 13648039888 15354044874 15597759872 17547479856 20472059832 23396639808 27296079776 30708089748 31195519744 35094959712 40944119664 46793279616 54592159552 61416179496 62391039488 70189919424 81888239328 93586559232 109184319104 122832358992 140379838848 163776478656 187173118464 218368638208 245664717984 280759677696 327552957312 436737276416 491329435968 561519355392 655105914624 982658871936 1310211829248 1965317743872 3930635487744