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20901179676 = 22313378774129
BaseRepresentation
bin10011011101110011…
…101011000100011100
31222221122020221100210
4103131303223010130
5320301200222201
613334000452420
71336644044616
oct233563530434
958848227323
1020901179676
118956197713
12407391a110
131c812c5250
141023c6bdb6
15824e2c1d6
hex4ddceb11c

20901179676 has 96 divisors (see below), whose sum is σ = 54014981440. Its totient is φ = 6248669184.

The previous prime is 20901179659. The next prime is 20901179699. The reversal of 20901179676 is 67697110902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5059980 + ... + 5064108.

Almost surely, 220901179676 is an apocalyptic number.

20901179676 is a gapful number since it is divisible by the number (26) 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 20901179676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007490720).

20901179676 is an abundant number, since it is smaller than the sum of its proper divisors (33113801764).

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

20901179676 is a wasteful number, since it uses less digits than its factorization.

20901179676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 20901179676 in words is "twenty billion, nine hundred one million, one hundred seventy-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 877 962 1443 1754 1924 2631 2886 3508 4129 5262 5772 8258 10524 11401 12387 16516 22802 24774 32449 34203 45604 49548 53677 64898 68406 97347 107354 129796 136812 152773 161031 194694 214708 305546 322062 389388 421837 458319 611092 644124 843674 916638 1265511 1687348 1833276 1986049 2531022 3621133 3972098 5062044 5958147 7242266 7944196 10863399 11916294 14484532 21726798 23832588 43453596 47074729 94149458 133981921 141224187 188298916 267963842 282448374 401945763 535927684 564896748 803891526 1607783052 1741764973 3483529946 5225294919 6967059892 10450589838 20901179676