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19977198072 = 23313347184523
BaseRepresentation
bin10010100110101110…
…111101100111111000
31220120020121210212220
4102212232331213320
5311403130314242
613102152404040
71305024244656
oct224656754770
956506553786
1019977198072
118521675657
123a563a6620
131b64a53080
14d7726bdd6
157bdc64bec
hex4a6bbd9f8

19977198072 has 64 divisors (see below), whose sum is σ = 53940055680. Its totient is φ = 6129082752.

The previous prime is 19977198061. The next prime is 19977198091. The reversal of 19977198072 is 27089177991.

It is a junction number, because it is equal to n+sod(n) for n = 19977197997 and 19977198015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16003 + ... + 200525.

It is an arithmetic number, because the mean of its divisors is an integer number (842813370).

Almost surely, 219977198072 is an apocalyptic number.

19977198072 is a gapful number since it is divisible by the number (12) 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 19977198072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970027840).

19977198072 is an abundant number, since it is smaller than the sum of its proper divisors (33962857608).

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

19977198072 is a wasteful number, since it uses less digits than its factorization.

19977198072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184892 (or 184888 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 60.

The spelling of 19977198072 in words is "nineteen billion, nine hundred seventy-seven million, one hundred ninety-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 347 694 1041 1388 2082 2776 4164 4511 8328 9022 13533 18044 27066 36088 54132 108264 184523 369046 553569 738092 1107138 1476184 2214276 2398799 4428552 4797598 7196397 9595196 14392794 19190392 28785588 57571176 64029481 128058962 192088443 256117924 384176886 512235848 768353772 832383253 1536707544 1664766506 2497149759 3329533012 4994299518 6659066024 9988599036 19977198072