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100019996622 = 232713199730577
BaseRepresentation
bin101110100100110101…
…0000000011111001110
3100120011120021021110100
41131021222000133032
53114320104342442
6113540515351530
710140405641460
oct1351152003716
9316146237410
10100019996622
1139466753937
12174745b25a6
13957c9c1470
144bab988130
152905d8984c
hex1749a807ce

100019996622 has 96 divisors (see below), whose sum is σ = 266862278592. Its totient is φ = 26364828672.

The previous prime is 100019996617. The next prime is 100019996623. The reversal of 100019996622 is 226699910001.

100019996622 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 19 + 9 + 9 + 6 + 622 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100019996623) 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, 3255798 + ... + 3286374.

It is an arithmetic number, because the mean of its divisors is an integer number (2779815402).

Almost surely, 2100019996622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100019996622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133431139296).

100019996622 is an abundant number, since it is smaller than the sum of its proper divisors (166842281970).

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

100019996622 is a wasteful number, since it uses less digits than its factorization.

100019996622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32602 (or 32599 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 100019996622 in words is "one hundred billion, nineteen million, nine hundred ninety-six thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1997 3994 5991 11982 13979 17973 25961 27958 30577 35946 41937 51922 61154 77883 83874 91731 125811 155766 181727 183462 214039 233649 251622 275193 363454 397501 428078 467298 545181 550386 642117 795002 1090362 1192503 1284234 1635543 1926351 2385006 2782507 3271086 3577509 3852702 5565014 7155018 8347521 16695042 25042563 50085126 61062269 122124538 183186807 366373614 427435883 549560421 793809497 854871766 1099120842 1282307649 1587618994 2381428491 2564615298 3846922947 4762856982 5556666479 7144285473 7693845894 11113332958 14288570946 16669999437 33339998874 50009998311 100019996622