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109739097528 = 233311136911889
BaseRepresentation
bin110011000110011110…
…1011011110110111000
3101111020220110202110120
41212030331123312320
53244221202110103
6122225145413240
710633302636564
oct1461475336670
9344226422416
10109739097528
11425a3950235
121932749a220
13a46b43ac48
1454506aa6a4
152cc425d253
hex198cf5bdb8

109739097528 has 128 divisors (see below), whose sum is σ = 286268774400. Its totient is φ = 35017113600.

The previous prime is 109739097521. The next prime is 109739097623. The reversal of 109739097528 is 825790937901.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109739097521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58092808 + ... + 58094696.

It is an arithmetic number, because the mean of its divisors is an integer number (2236474800).

Almost surely, 2109739097528 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 109739097528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143134387200).

109739097528 is an abundant number, since it is smaller than the sum of its proper divisors (176529676872).

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

109739097528 is a wasteful number, since it uses less digits than its factorization.

109739097528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 60.

The spelling of 109739097528 in words is "one hundred nine billion, seven hundred thirty-nine million, ninety-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 113 124 186 226 248 339 372 452 678 691 744 904 1356 1382 1889 2073 2712 2764 3503 3778 4146 5528 5667 7006 7556 8292 10509 11334 14012 15112 16584 21018 21421 22668 28024 42036 42842 45336 58559 64263 78083 84072 85684 117118 128526 156166 171368 175677 213457 234236 234249 257052 312332 351354 426914 468472 468498 514104 624664 640371 702708 853828 936996 1280742 1305299 1405416 1707656 1873992 2420573 2561484 2610598 3915897 4841146 5122968 5221196 6617167 7261719 7831794 9682292 10442392 13234334 14523438 15663588 19364584 19851501 26468668 29046876 31327176 39703002 40464269 52937336 58093752 79406004 80928538 121392807 147498787 158812008 161857076 242785614 294997574 323714152 442496361 485571228 589995148 884992722 971142456 1179990296 1769985444 3539970888 4572462397 9144924794 13717387191 18289849588 27434774382 36579699176 54869548764 109739097528