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99666432 = 293243503
BaseRepresentation
bin1011111000011…
…00101000000000
320221112120122100
411330030220000
5201003311212
613520110400
72320102455
oct574145000
9227476570
1099666432
1151293958
1229465400
1317857a28
14d34582c
158b3abdc
hex5f0ca00

99666432 has 120 divisors (see below), whose sum is σ = 294918624. Its totient is φ = 32385024.

The previous prime is 99666407. The next prime is 99666443. The reversal of 99666432 is 23466699.

It is a super-2 number, since 2×996664322 = 19866795335221248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

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, 197893 + ... + 198395.

Almost surely, 299666432 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 99666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

99666432 is an abundant number, since it is smaller than the sum of its proper divisors (195252192).

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

99666432 is a wasteful number, since it uses less digits than its factorization.

99666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 99666432 is about 9983.3076683031. The cubic root of 99666432 is about 463.6422132847.

The spelling of 99666432 in words is "ninety-nine million, six hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 503 512 516 576 688 768 774 1006 1032 1152 1376 1509 1536 1548 2012 2064 2304 2752 3018 3096 4024 4128 4527 4608 5504 6036 6192 8048 8256 9054 11008 12072 12384 16096 16512 18108 21629 22016 24144 24768 32192 33024 36216 43258 48288 49536 64384 64887 66048 72432 86516 96576 99072 128768 129774 144864 173032 193152 194661 198144 257536 259548 289728 346064 386304 389322 519096 579456 692128 772608 778644 1038192 1158912 1384256 1557288 2076384 2317824 2768512 3114576 4152768 5537024 6229152 8305536 11074048 12458304 16611072 24916608 33222144 49833216 99666432