Search a number
-
+
147361763414656 = 277829119836721
BaseRepresentation
bin100001100000011001010101…
…100011111101001010000000
3201022202122110122220002121201
4201200121111203331022000
5123303333342413232111
61241225020510030544
743016351604610150
oct4140312543751200
9638678418802551
10147361763414656
1142a5485580942a
121463b8444a8454
13642c201a4561b
1428564c13ca760
15120833e82a6c1
hex8606558fd280

147361763414656 has 64 divisors (see below), whose sum is σ = 335551641600960. Its totient is φ = 63147420979200.

The previous prime is 147361763414543. The next prime is 147361763414707. The reversal of 147361763414656 is 656414367163741.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

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 7 ways as a sum of consecutive naturals, for example, 2489625 + ... + 17347096.

It is an arithmetic number, because the mean of its divisors is an integer number (5242994400015).

Almost surely, 2147361763414656 is an apocalyptic number.

147361763414656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

147361763414656 is an abundant number, since it is smaller than the sum of its proper divisors (188189878186304).

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

147361763414656 is an equidigital number, since it uses as much as digits as its factorization.

147361763414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19845033 (or 19845021 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 64.

The spelling of 147361763414656 in words is "one hundred forty-seven trillion, three hundred sixty-one billion, seven hundred sixty-three million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 8291 16582 33164 58037 66328 116074 132656 232148 265312 464296 530624 928592 1061248 1857184 3714368 7428736 19836721 39673442 79346884 138857047 158693768 277714094 317387536 555428188 634775072 1110856376 1269550144 2221712752 2539100288 4443425504 8886851008 17773702016 164466253811 328932507622 657865015244 1151263776677 1315730030488 2302527553354 2631460060976 4605055106708 5262920121952 9210110213416 10525840243904 18420220426832 21051680487808 36840440853664 73680881707328 147361763414656