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99000662436 = 2232133110096763
BaseRepresentation
bin101110000110011100…
…1100011100110100100
3100110112112012201211100
41130030321203212210
53110223132144221
6113251423440100
710103220513624
oct1341471434644
9313475181740
1099000662436
1138a93324a95
121722b156030
139449774c40
144b12446884
152896639926
hex170ce639a4

99000662436 has 144 divisors (see below), whose sum is σ = 278512299520. Its totient is φ = 29445534720.

The previous prime is 99000662399. The next prime is 99000662447. The reversal of 99000662436 is 63426600099.

It is a super-2 number, since 2×990006624362 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 99000662391 and 99000662400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14635191 + ... + 14641953.

Almost surely, 299000662436 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 99000662436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139256149760).

99000662436 is an abundant number, since it is smaller than the sum of its proper divisors (179511637084).

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

99000662436 is a wasteful number, since it uses less digits than its factorization.

99000662436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826 (or 7821 counting only the distinct ones).

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

The spelling of 99000662436 in words is "ninety-nine billion, six hundred sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1009 1116 1209 1612 2018 2418 3027 3627 4036 4836 6054 6763 7254 9081 12108 13117 13526 14508 18162 20289 26234 27052 31279 36324 39351 40578 52468 60867 62558 78702 81156 87919 93837 118053 121734 125116 157404 175838 187674 209653 236106 243468 263757 281511 351676 375348 406627 419306 472212 527514 563022 628959 791271 813254 838612 1055028 1126044 1219881 1257918 1582542 1626508 1886877 2439762 2515836 2725489 3165084 3659643 3773754 4879524 5450978 6823867 7319286 7547508 8176467 10901956 13647734 14638572 16352934 20471601 24529401 27295468 32705868 40943202 49058802 61414803 81886404 88710271 98117604 122829606 177420542 211539877 245659212 266130813 354841084 423079754 532261626 634619631 798392439 846159508 1064523252 1269239262 1596784878 1903858893 2538478524 2750018401 3193569756 3807717786 5500036802 7615435572 8250055203 11000073604 16500110406 24750165609 33000220812 49500331218 99000662436