Search a number
-
+
103213252655464 = 237348717722061
BaseRepresentation
bin10111011101111100110101…
…010000101011100101101000
3111112110002110001002010211111
4113131330311100223211220
5102012021220134433324
61003303302542440104
730511624422103000
oct2735746520534550
9445402401063744
10103213252655464
112a9835493a6276
12b6ab505593034
134578c777c8c83
141b6b795d23000
15bdec30b95794
hex5ddf3542b968

103213252655464 has 64 divisors (see below), whose sum is σ = 225731316384000. Its totient is φ = 44225164267200.

The previous prime is 103213252655411. The next prime is 103213252655483. The reversal of 103213252655464 is 464556252312301.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9504994 + ... + 17227054.

It is an arithmetic number, because the mean of its divisors is an integer number (3527051818500).

Almost surely, 2103213252655464 is an apocalyptic number.

103213252655464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213252655464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112865658192000).

103213252655464 is an abundant number, since it is smaller than the sum of its proper divisors (122518063728536).

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

103213252655464 is an equidigital number, since it uses as much as digits as its factorization.

103213252655464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726959 (or 7726941 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 103213252655464 in words is "one hundred three trillion, two hundred thirteen billion, two hundred fifty-two million, six hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 4871 9742 19484 34097 38968 68194 136388 238679 272776 477358 954716 1670753 1909432 3341506 6683012 7722061 13366024 15444122 30888244 54054427 61776488 108108854 216217708 378380989 432435416 756761978 1513523956 2648666923 3027047912 5297333846 10594667692 21189335384 37614159131 75228318262 150456636524 263299113917 300913273048 526598227834 1053196455668 1843093797419 2106392911336 3686187594838 7372375189676 12901656581933 14744750379352 25803313163866 51606626327732 103213252655464