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189903726972 = 223261122370709
BaseRepresentation
bin1011000011011100100…
…1001110100101111100
3200011011201100212121100
42300313021032211330
511102410323230342
6223123543533100
716501664021451
oct2606711164574
9604151325540
10189903726972
11735a0780903
123097a45a190
1314ba56c471b
14929725b828
154e16deae4c
hex2c3724e97c

189903726972 has 72 divisors (see below), whose sum is σ = 488309683680. Its totient is φ = 62211726720.

The previous prime is 189903726931. The next prime is 189903727037. The reversal of 189903726972 is 279627309981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2650354 + ... + 2721062.

It is an arithmetic number, because the mean of its divisors is an integer number (6782078940).

Almost surely, 2189903726972 is an apocalyptic number.

189903726972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189903726972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244154841840).

189903726972 is an abundant number, since it is smaller than the sum of its proper divisors (298405956708).

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

189903726972 is a wasteful number, since it uses less digits than its factorization.

189903726972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72003 (or 71998 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 189903726972 in words is "one hundred eighty-nine billion, nine hundred three million, seven hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1223 2196 2446 3669 4892 7338 11007 14676 22014 44028 70709 74603 141418 149206 212127 223809 282836 298412 424254 447618 636381 671427 848508 895236 1272762 1342854 2545524 2685708 4313249 8626498 12939747 17252996 25879494 38819241 51758988 77638482 86477107 155276964 172954214 259431321 345908428 518862642 778293963 1037725284 1556587926 3113175852 5275103527 10550207054 15825310581 21100414108 31650621162 47475931743 63301242324 94951863486 189903726972