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99816418880 = 2653123942101
BaseRepresentation
bin101110011110110000…
…1011010111001000000
3100112122101012110021222
41130331201122321000
53113411000401010
6113504404134212
710132354363403
oct1347541327100
9315571173258
1099816418880
1139371847972
1217418397368
139549783869
144b8c913d3a
1528e3075355
hex173d85ae40

99816418880 has 112 divisors (see below), whose sum is σ = 246387640320. Its totient is φ = 38476032000.

The previous prime is 99816418879. The next prime is 99816418883. The reversal of 99816418880 is 8881461899.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (99816418883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349830 + ... + 2391930.

Almost surely, 299816418880 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 99816418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123193820160).

99816418880 is an abundant number, since it is smaller than the sum of its proper divisors (146571221440).

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

99816418880 is a wasteful number, since it uses less digits than its factorization.

99816418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42388 (or 42378 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 62.

The spelling of 99816418880 in words is "ninety-nine billion, eight hundred sixteen million, four hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 239 248 310 320 478 496 620 956 992 1195 1240 1912 1984 2390 2480 3824 4780 4960 7409 7648 9560 9920 14818 15296 19120 29636 37045 38240 42101 59272 74090 76480 84202 118544 148180 168404 210505 237088 296360 336808 421010 474176 592720 673616 842020 1185440 1305131 1347232 1684040 2370880 2610262 2694464 3368080 5220524 6525655 6736160 10062139 10441048 13051310 13472320 20124278 20882096 26102620 40248556 41764192 50310695 52205240 80497112 83528384 100621390 104410480 160994224 201242780 208820960 311926309 321988448 402485560 417641920 623852618 643976896 804971120 1247705236 1559631545 1609942240 2495410472 3119263090 3219884480 4990820944 6238526180 9981641888 12477052360 19963283776 24954104720 49908209440 99816418880