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109054796656 = 24135979197571
BaseRepresentation
bin110010110010000101…
…1000010001101110000
3101102111012211200010211
41211210023002031300
53241321011443111
6122033222433504
710610323322401
oct1454413021560
9342435750124
10109054796656
1142282653923
1219176292894
13a38c7374a0
1453c785b9a8
152c8413c521
hex19642c2370

109054796656 has 160 divisors (see below), whose sum is σ = 235934899200. Its totient is φ = 48520442880.

The previous prime is 109054796651. The next prime is 109054796659. The reversal of 109054796656 is 656697450901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 109054796656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109054796651) 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, 190988851 + ... + 190989421.

It is an arithmetic number, because the mean of its divisors is an integer number (1474593120).

Almost surely, 2109054796656 is an apocalyptic number.

109054796656 is a gapful number since it is divisible by the number (16) 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 109054796656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117967449600).

109054796656 is an abundant number, since it is smaller than the sum of its proper divisors (126880102544).

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

109054796656 is a wasteful number, since it uses less digits than its factorization.

109054796656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 109054796656 in words is "one hundred nine billion, fifty-four million, seven hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 59 79 104 118 158 197 208 236 316 394 472 571 632 767 788 944 1027 1142 1264 1534 1576 2054 2284 2561 3068 3152 4108 4568 4661 5122 6136 7423 8216 9136 9322 10244 11623 12272 14846 15563 16432 18644 20488 23246 29692 31126 33689 37288 40976 45109 46492 59384 60593 62252 67378 74576 90218 92984 112487 118768 121186 124504 134756 151099 180436 185968 202319 224974 242372 249008 269512 302198 360872 404638 437957 449948 484744 539024 586417 604396 721744 809276 875914 899896 918217 969488 1172834 1208792 1462331 1618552 1751828 1799792 1836434 2345668 2417584 2661431 2924662 3237104 3503656 3672868 4691336 5322862 5849324 6636733 7007312 7345736 8886473 9382672 10645724 11698648 11936821 13273466 14691472 17772946 21291448 23397296 23873642 26546932 34598603 35545892 42582896 47747284 53093864 69197206 71091784 86277529 95494568 106187728 115524149 138394412 142183568 172555058 190989136 231048298 276788824 345110116 462096596 524301907 553577648 690220232 924193192 1048603814 1380440464 1848386384 2097207628 4194415256 6815924791 8388830512 13631849582 27263699164 54527398328 109054796656