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73098091152 = 24324112381113
BaseRepresentation
bin100010000010011111…
…1000101101010010000
320222200022221202222100
41010010333011222100
52144201102404102
653325241440400
75165303344242
oct1040477055220
9228608852870
1073098091152
1129000a6a889
12122004a0100
136b7c254898
143776274092
151d7c5cda1c
hex1104fc5a90

73098091152 has 60 divisors (see below), whose sum is σ = 209562735564. Its totient is φ = 23771735040.

The previous prime is 73098091127. The next prime is 73098091201. The reversal of 73098091152 is 25119089037.

It can be written as a sum of positive squares in 2 ways, for example, as 13739590656 + 59358500496 = 117216^2 + 243636^2 .

It is a super-2 number, since 2×730980911522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73098091098 and 73098091107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6184653 + ... + 6196460.

Almost surely, 273098091152 is an apocalyptic number.

73098091152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73098091152 is an abundant number, since it is smaller than the sum of its proper divisors (136464644412).

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

73098091152 is a wasteful number, since it uses less digits than its factorization.

73098091152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12381168 (or 12381159 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 73098091152 in words is "seventy-three billion, ninety-eight million, ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 12381113 24762226 37143339 49524452 74286678 99048904 111430017 148573356 198097808 222860034 297146712 445720068 507625633 594293424 891440136 1015251266 1522876899 1782880272 2030502532 3045753798 4061005064 4568630697 6091507596 8122010128 9137261394 12183015192 18274522788 24366030384 36549045576 73098091152