Search a number
-
+
6901953208992 = 253243557328263
BaseRepresentation
bin110010001101111110001…
…1110000010001010100000
3220102211010222121221011100
41210123330132002022200
51401040200010141432
622402414042314400
71311435556202442
oct144337436021240
926384128557140
106901953208992
112221113720056
1293578a1b8a00
133b0b0b68c66a
1419c0b0770492
15be807bd307c
hex646fc7822a0

6901953208992 has 72 divisors (see below), whose sum is σ = 20083881321504. Its totient is φ = 2247147552384.

The previous prime is 6901953208919. The next prime is 6901953209029. The reversal of 6901953208992 is 2998023591096.

6901953208992 is a `hidden beast` number, since 6 + 9 + 0 + 1 + 9 + 532 + 0 + 8 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×69019532089922 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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, 278651748 + ... + 278676515.

It is an arithmetic number, because the mean of its divisors is an integer number (278942796132).

Almost surely, 26901953208992 is an apocalyptic number.

It is an amenable number.

6901953208992 is an abundant number, since it is smaller than the sum of its proper divisors (13181928112512).

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

6901953208992 is a wasteful number, since it uses less digits than its factorization.

6901953208992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557328322 (or 557328311 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 6901953208992 in words is "six trillion, nine hundred one billion, nine hundred fifty-three million, two hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 557328263 1114656526 1671984789 2229313052 3343969578 4458626104 5015954367 6687939156 8917252208 10031908734 13375878312 17834504416 20063817468 23965115309 26751756624 40127634936 47930230618 53503513248 71895345927 80255269872 95860461236 143790691854 160510539744 191720922472 215686037781 287581383708 383441844944 431372075562 575162767416 766883689888 862744151124 1150325534832 1725488302248 2300651069664 3450976604496 6901953208992