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91000000900 = 22523132299091
BaseRepresentation
bin101010011000000000…
…1011101000110000100
322200212221120000110201
41110300001131012010
52442332000012100
6105445501500244
76401031150034
oct1246001350604
9280787500421
1091000000900
1135658145616
1215777871684
13877305c9a3
144593a498c4
15257905d36a
hex153005d184

91000000900 has 72 divisors (see below), whose sum is σ = 203925559040. Its totient is φ = 35211024000.

The previous prime is 91000000891. The next prime is 91000000921. The reversal of 91000000900 is 900000019.

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 23 ways as a sum of consecutive naturals, for example, 10005355 + ... + 10014445.

Almost surely, 291000000900 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 91000000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101962779520).

91000000900 is an abundant number, since it is smaller than the sum of its proper divisors (112925558140).

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

91000000900 is a wasteful number, since it uses less digits than its factorization.

91000000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 91000000900 its reverse (900000019), we get a palindrome (91900000919).

The spelling of 91000000900 in words is "ninety-one billion, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3229 6458 9091 12916 16145 18182 32290 36364 45455 64580 80725 90910 100099 161450 181820 200198 227275 281821 322900 400396 454550 500495 563642 909100 1000990 1127284 1409105 2001980 2502475 2818210 5004950 5636420 7045525 10009900 14091050 28182100 29354839 58709678 117419356 146774195 293548390 587096780 733870975 910000009 1467741950 1820000018 2935483900 3640000036 4550000045 9100000090 18200000180 22750000225 45500000450 91000000900