Search a number
-
+
99145031680 = 21358927197
BaseRepresentation
bin101110001010110000…
…0010010000000000000
3100110220120212110012101
41130111200102000000
53111022112003210
6113314022040144
710106622602332
oct1342540220000
9313816773171
1099145031680
1139057870812
121726b579054
139470651c26
144b276a7452
1528a4155a3a
hex1715812000

99145031680 has 112 divisors (see below), whose sum is σ = 240615810360. Its totient is φ = 39210975232.

The previous prime is 99145031663. The next prime is 99145031743. The reversal of 99145031680 is 8613054199.

It can be written as a sum of positive squares in 4 ways, for example, as 67284209664 + 31860822016 = 259392^2 + 178496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99145031680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3631842 + ... + 3659038.

Almost surely, 299145031680 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 99145031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120307905180).

99145031680 is an abundant number, since it is smaller than the sum of its proper divisors (141470778680).

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

99145031680 is an equidigital number, since it uses as much as digits as its factorization.

99145031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27317 (or 27293 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 99145031680 in words is "ninety-nine billion, one hundred forty-five million, thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 512 640 712 890 1024 1280 1424 1780 2048 2560 2848 3560 4096 5120 5696 7120 8192 10240 11392 14240 20480 22784 27197 28480 40960 45568 54394 56960 91136 108788 113920 135985 182272 217576 227840 271970 364544 435152 455680 543940 729088 870304 911360 1087880 1740608 1822720 2175760 2420533 3481216 3645440 4351520 4841066 6962432 8703040 9682132 12102665 13924864 17406080 19364264 24205330 27849728 34812160 38728528 48410660 55699456 69624320 77457056 96821320 111398912 139248640 154914112 193642640 222797824 278497280 309828224 387285280 556994560 619656448 774570560 1113989120 1239312896 1549141120 2478625792 3098282240 4957251584 6196564480 9914503168 12393128960 19829006336 24786257920 49572515840 99145031680