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91007784040 = 235476992
BaseRepresentation
bin101010011000001111…
…1001001010001101000
322200220111012102221011
41110300133021101220
52442340443042130
6105450340353304
76401154254305
oct1246037112150
9280814172834
1091007784040
1135661581168
121577a3a5834
1387748564b4
144594ab40ac
152579a9952a
hex15307c9468

91007784040 has 24 divisors (see below), whose sum is σ = 204771807090. Its totient is φ = 36402350432.

The previous prime is 91007784031. The next prime is 91007784041. The reversal of 91007784040 is 4048770019.

It can be written as a sum of positive squares in only one way, i.e., 81907005636 + 9100778404 = 286194^2 + 95398^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 91007783984 and 91007784002.

It is not an unprimeable number, because it can be changed into a prime (91007784041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1884111 + ... + 1931809.

Almost surely, 291007784040 is an apocalyptic number.

It is an amenable number.

91007784040 is an abundant number, since it is smaller than the sum of its proper divisors (113764023050).

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

91007784040 is an frugal number, since it uses more digits than its factorization.

91007784040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95409 (or 47706 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

Multiplying 91007784040 by its sum of digits (40), we get a square (3640311361600 = 19079602).

91007784040 divided by its sum of digits (40) gives a square (2275194601 = 476992).

The spelling of 91007784040 in words is "ninety-one billion, seven million, seven hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47699 95398 190796 238495 381592 476990 953980 1907960 2275194601 4550389202 9100778404 11375973005 18201556808 22751946010 45503892020 91007784040