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90002229504 = 2831110653673
BaseRepresentation
bin101001111010010001…
…1010000100100000000
322121022102001222102120
41103310203100210000
52433311032321004
6105202500044240
76334224220365
oct1236443204400
9277272058376
1090002229504
1135195a04160
1215539693680
138644423005
1444db31c46c
15251b66c3d9
hex14f48d0900

90002229504 has 72 divisors (see below), whose sum is σ = 261313315872. Its totient is φ = 27273400320.

The previous prime is 90002229497. The next prime is 90002229523. The reversal of 90002229504 is 40592220009.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 7 ways as a sum of consecutive naturals, for example, 5318389 + ... + 5335284.

Almost surely, 290002229504 is an apocalyptic number.

It is an amenable number.

90002229504 is an abundant number, since it is smaller than the sum of its proper divisors (171311086368).

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

90002229504 is a wasteful number, since it uses less digits than its factorization.

90002229504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10653703 (or 10653689 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 90002229504 in words is "ninety billion, two million, two hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 10653673 21307346 31961019 42614692 63922038 85229384 117190403 127844076 170458768 234380806 255688152 340917536 351571209 468761612 511376304 681835072 703142418 937523224 1022752608 1363670144 1406284836 1875046448 2045505216 2727340288 2812569672 3750092896 4091010432 5625139344 7500185792 8182020864 11250278688 15000371584 22500557376 30000743168 45001114752 90002229504