Search a number
-
+
64474146046368 = 25322913955536731
BaseRepresentation
bin11101010100011100011101…
…00100101000000110100000
322110021200001002112000011200
432222032032210220012200
531422321022341440433
6345043002551441200
716403050305021132
oct1652161644500640
9273250032460150
1064474146046368
11195a8371673143
127293631086200
1329c8b69397776
1411cc7cb341052
1576c1c1a3a613
hex3aa38e9281a0

64474146046368 has 144 divisors (see below), whose sum is σ = 191035250733600. Its totient is φ = 20601016773120.

The previous prime is 64474146046367. The next prime is 64474146046421. The reversal of 64474146046368 is 86364064147446.

64474146046368 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 4 + 14 + 604 + 6 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (64474146046363) 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 23 ways as a sum of consecutive naturals, for example, 26607438 + ... + 28929293.

It is an arithmetic number, because the mean of its divisors is an integer number (1326633685650).

Almost surely, 264474146046368 is an apocalyptic number.

It is an amenable number.

64474146046368 is an abundant number, since it is smaller than the sum of its proper divisors (126561104687232).

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

64474146046368 is a wasteful number, since it uses less digits than its factorization.

64474146046368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55536915 (or 55536904 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 64474146046368 in words is "sixty-four trillion, four hundred seventy-four billion, one hundred forty-six million, forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 139 144 174 232 261 278 288 348 417 464 522 556 696 834 928 1044 1112 1251 1392 1668 2088 2224 2502 2784 3336 4031 4176 4448 5004 6672 8062 8352 10008 12093 13344 16124 20016 24186 32248 36279 40032 48372 64496 72558 96744 128992 145116 193488 290232 386976 580464 1160928 55536731 111073462 166610193 222146924 333220386 444293848 499830579 666440772 888587696 999661158 1332881544 1610565199 1777175392 1999322316 2665763088 3221130398 3998644632 4831695597 5331526176 6442260796 7719605609 7997289264 9663391194 12884521592 14495086791 15439211218 15994578528 19326782388 23158816827 25769043184 28990173582 30878422436 38653564776 46317633654 51538086368 57980347164 61756844872 69476450481 77307129552 92635267308 115960694328 123513689744 138952900962 154614259104 185270534616 223868562661 231921388656 247027379488 277905801924 370541069232 447737125322 463842777312 555811603848 671605687983 741082138464 895474250644 1111623207696 1343211375966 1790948501288 2014817063949 2223246415392 2686422751932 3581897002576 4029634127898 5372845503864 7163794005152 8059268255796 10745691007728 16118536511592 21491382015456 32237073023184 64474146046368