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48103668816 = 2437421340061
BaseRepresentation
bin101100110011001100…
…111011110001010000
311121011102112120021120
4230303030323301100
51242004014400231
634033140322240
73322024303260
oct546314736120
9147142476246
1048103668816
11194452a33a5
1293a59a3380
1346c7c22078
14248493d7a0
1513b815dd96
hexb3333bc50

48103668816 has 80 divisors (see below), whose sum is σ = 142358114688. Its totient is φ = 13711219200.

The previous prime is 48103668787. The next prime is 48103668841. The reversal of 48103668816 is 61886630184.

48103668816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×481036688163 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 28575 + ... + 311486.

Almost surely, 248103668816 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 48103668816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71179057344).

48103668816 is an abundant number, since it is smaller than the sum of its proper divisors (94254445872).

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

48103668816 is a wasteful number, since it uses less digits than its factorization.

48103668816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340500 (or 340494 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 48103668816 in words is "forty-eight billion, one hundred three million, six hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 421 842 1263 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 17682 20208 23576 35364 47152 70728 141456 340061 680122 1020183 1360244 2040366 2380427 2720488 4080732 4760854 5440976 7141281 8161464 9521708 14282562 16322928 19043416 28565124 38086832 57130248 114260496 143165681 286331362 429497043 572662724 858994086 1002159767 1145325448 1717988172 2004319534 2290650896 3006479301 3435976344 4008639068 6012958602 6871952688 8017278136 12025917204 16034556272 24051834408 48103668816