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103274777928 = 23372349675381
BaseRepresentation
bin110000000101110101…
…0000000110101001000
3100212120101201022001010
41200023222000311020
53143001320343203
6115235504523520
710314150062010
oct1401352006510
9325511638033
10103274777928
113a886a13243
12180226205a0
13997b10076a
144dd9d52c40
152a469a9303
hex180ba80d48

103274777928 has 128 divisors (see below), whose sum is σ = 308019179520. Its totient is φ = 28213236480.

The previous prime is 103274777923. The next prime is 103274777959. The reversal of 103274777928 is 829777472301.

It is not an unprimeable number, because it can be changed into a prime (103274777923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19189798 + ... + 19195178.

It is an arithmetic number, because the mean of its divisors is an integer number (2406399840).

Almost surely, 2103274777928 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 103274777928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154009589760).

103274777928 is an abundant number, since it is smaller than the sum of its proper divisors (204744401592).

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

103274777928 is a wasteful number, since it uses less digits than its factorization.

103274777928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 103274777928 in words is "one hundred three billion, two hundred seventy-four million, seven hundred seventy-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 4967 5381 9934 10762 14901 16143 19868 21524 29802 32286 34769 37667 39736 43048 59604 64572 69538 75334 104307 113001 114241 119208 123763 129144 139076 150668 208614 226002 228482 247526 278152 301336 342723 371289 417228 452004 456964 495052 685446 742578 799687 834456 866341 904008 913928 990104 1370892 1485156 1599374 1732682 2399061 2599023 2741784 2970312 3198748 3465364 4798122 5198046 6397496 6930728 9596244 10396092 19192488 20792184 26727427 53454854 80182281 106909708 160364562 187091989 213819416 320729124 374183978 561275967 614730821 641458248 748367956 1122551934 1229461642 1496735912 1844192463 2245103868 2458923284 3688384926 4303115747 4490207736 4917846568 7376769852 8606231494 12909347241 14753539704 17212462988 25818694482 34424925976 51637388964 103274777928