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104750997120 = 27335711217421
BaseRepresentation
bin110000110001110100…
…1010101111010000000
3101000101021111000002000
41201203221111322000
53204012223401440
6120042201224000
710365553533030
oct1414351257200
9330337430060
10104750997120
1140474230600
1218374a92000
139b54bb7743
1450da0258c0
152ad13a7730
hex1863a55e80

104750997120 has 1536 divisors, whose sum is σ = 494627212800. Its totient is φ = 20437401600.

The previous prime is 104750997097. The next prime is 104750997151. The reversal of 104750997120 is 21799057401.

104750997120 is a `hidden beast` number, since 1 + 0 + 47 + 509 + 97 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248814510 + ... + 248814930.

It is an arithmetic number, because the mean of its divisors is an integer number (322022925).

Almost surely, 2104750997120 is an apocalyptic number.

104750997120 is a gapful number since it is divisible by the number (10) 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 104750997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247313606400).

104750997120 is an abundant number, since it is smaller than the sum of its proper divisors (389876215680).

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

104750997120 is a wasteful number, since it uses less digits than its factorization.

104750997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

It can be divided in two parts, 104750 and 997120, that added together give a triangular number (1101870 = T1484).

The spelling of 104750997120 in words is "one hundred four billion, seven hundred fifty million, nine hundred ninety-seven thousand, one hundred twenty".