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103430556064 = 2511248754851
BaseRepresentation
bin110000001010011110…
…0010000100110100000
3100212222020211122110201
41200110330100212200
53143311210243224
6115303151434544
710321051135453
oct1402474204640
9325866748421
10103430556064
113a956941700
1218066825a54
1399a4473684
14501290349a
152a554caa44
hex1814f109a0

103430556064 has 72 divisors (see below), whose sum is σ = 224287195104. Its totient is φ = 46916496000.

The previous prime is 103430556059. The next prime is 103430556161. The reversal of 103430556064 is 460655034301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1858239 + ... + 1913089.

It is an arithmetic number, because the mean of its divisors is an integer number (3115099932).

Almost surely, 2103430556064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103430556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112143597552).

103430556064 is an abundant number, since it is smaller than the sum of its proper divisors (120856639040).

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

103430556064 is a wasteful number, since it uses less digits than its factorization.

103430556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55370 (or 55351 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 103430556064 in words is "one hundred three billion, four hundred thirty million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 487 968 974 1936 1948 3872 3896 5357 7792 10714 15584 21428 42856 54851 58927 85712 109702 117854 171424 219404 235708 438808 471416 603361 877616 942832 1206722 1755232 1885664 2413444 4826888 6636971 9653776 13273942 19307552 26547884 26712437 53095768 53424874 106191536 106849748 212383072 213699496 293836807 427398992 587673614 854797984 1175347228 2350694456 3232204877 4701388912 6464409754 9402777824 12928819508 25857639016 51715278032 103430556064