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9945906102 = 2321183769787
BaseRepresentation
bin10010100001101001…
…00111101110110110
3221200010222101020200
421100310213232312
5130332122443402
64322531141330
7501316543536
oct112064475666
927603871220
109945906102
114244228510
121b16a44846
13c2672a852
146a4cc14c6
153d327521c
hex250d27bb6

9945906102 has 96 divisors (see below), whose sum is σ = 23852949120. Its totient is φ = 2969948160.

The previous prime is 9945906071. The next prime is 9945906107. The reversal of 9945906102 is 2016095499.

9945906102 is a `hidden beast` number, since 99 + 459 + 0 + 6 + 102 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945906107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12637353 + ... + 12638139.

It is an arithmetic number, because the mean of its divisors is an integer number (248468220).

Almost surely, 29945906102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9945906102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926474560).

9945906102 is an abundant number, since it is smaller than the sum of its proper divisors (13907043018).

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

9945906102 is a wasteful number, since it uses less digits than its factorization.

9945906102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9945906102 is about 99729.1637486247. The cubic root of 9945906102 is about 2150.5429385610.

The spelling of 9945906102 in words is "nine billion, nine hundred forty-five million, nine hundred six thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 769 787 913 1494 1538 1574 1826 2307 2361 2739 4614 4722 5478 6921 7083 8217 8459 8657 13842 14166 16434 16918 17314 25377 25971 50754 51942 63827 65321 76131 77913 127654 130642 152262 155826 191481 195963 382962 391926 574443 587889 605203 702097 718531 1148886 1175778 1210406 1404194 1437062 1815609 2106291 2155593 3631218 4212582 4311186 5446827 6318873 6466779 6657233 10893654 12637746 12933558 13314466 19971699 39943398 50231849 59915097 100463698 119830194 150695547 301391094 452086641 552550339 904173282 1105100678 1657651017 3315302034 4972953051 9945906102