Search a number
-
+
90299477072 = 2472027397753
BaseRepresentation
bin101010000011001000…
…1001010110001010000
322122002010101201102202
41110012101022301100
52434413131231242
6105252155102332
76344463614360
oct1240621126120
9278063351382
1090299477072
1135328778702
12156011419a8
138690b9904c
1445289b69a0
1525377d5932
hex150644ac50

90299477072 has 40 divisors (see below), whose sum is σ = 200047987776. Its totient is φ = 38680586496.

The previous prime is 90299477071. The next prime is 90299477087. The reversal of 90299477072 is 27077499209.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 90299476999 and 90299477017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90299477071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28148 + ... + 425900.

Almost surely, 290299477072 is an apocalyptic number.

It is an amenable number.

90299477072 is an abundant number, since it is smaller than the sum of its proper divisors (109748510704).

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

90299477072 is a wasteful number, since it uses less digits than its factorization.

90299477072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399795 (or 399789 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 56.

The spelling of 90299477072 in words is "ninety billion, two hundred ninety-nine million, four hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 2027 4054 8108 14189 16216 28378 32432 56756 113512 227024 397753 795506 1591012 2784271 3182024 5568542 6364048 11137084 22274168 44548336 806245331 1612490662 3224981324 5643717317 6449962648 11287434634 12899925296 22574869268 45149738536 90299477072