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103555504352 = 2517509373987
BaseRepresentation
bin110000001110001100…
…0111001100011100000
3100220021221221200022002
41200130120321203200
53144040202114402
6115323413503132
710324126156256
oct1403430714340
9326257850262
10103555504352
113aa10423153
12180a0641aa8
1399c4310981
14502534a5d6
152a6145c602
hex181c6398e0

103555504352 has 48 divisors (see below), whose sum is σ = 216292219920. Its totient is φ = 48636131328.

The previous prime is 103555504337. The next prime is 103555504361. The reversal of 103555504352 is 253405555301.

It is a super-3 number, since 3×1035555043523 (a number of 34 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89903 + ... + 463889.

It is an arithmetic number, because the mean of its divisors is an integer number (4506087915).

Almost surely, 2103555504352 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 103555504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108146109960).

103555504352 is an abundant number, since it is smaller than the sum of its proper divisors (112736715568).

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

103555504352 is a wasteful number, since it uses less digits than its factorization.

103555504352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374523 (or 374515 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 38.

The spelling of 103555504352 in words is "one hundred three billion, five hundred fifty-five million, five hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 509 544 1018 2036 4072 8144 8653 16288 17306 34612 69224 138448 276896 373987 747974 1495948 2991896 5983792 6357779 11967584 12715558 25431116 50862232 101724464 190359383 203448928 380718766 761437532 1522875064 3045750128 3236109511 6091500256 6472219022 12944438044 25888876088 51777752176 103555504352