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196808115906 = 2351517513571
BaseRepresentation
bin1011011101001010101…
…1011000011011000010
3200210222220012011200000
42313102223120123002
511211030334202111
6230225024540430
720135042245323
oct2672253303302
9623886164600
10196808115906
1176514061466
1232186781716
1315735c6276c
14975020a44a
1551bd12ac56
hex2dd2ad86c2

196808115906 has 96 divisors (see below), whose sum is σ = 445856925696. Its totient is φ = 65063250000.

The previous prime is 196808115871. The next prime is 196808115913. The reversal of 196808115906 is 609511808691.

196808115906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 55111101 + ... + 55114671.

It is an arithmetic number, because the mean of its divisors is an integer number (4644342976).

Almost surely, 2196808115906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196808115906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222928462848).

196808115906 is an abundant number, since it is smaller than the sum of its proper divisors (249048809790).

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

196808115906 is a wasteful number, since it uses less digits than its factorization.

196808115906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 196808115906 in words is "one hundred ninety-six billion, eight hundred eight million, one hundred fifteen thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 751 906 1359 1502 2253 2718 3571 4077 4506 6759 7142 8154 10713 12231 13518 20277 21426 24462 32139 36693 40554 60831 64278 73386 96417 113401 121662 182493 192834 226802 289251 340203 364986 539221 578502 680406 867753 1020609 1078442 1617663 1735506 2041218 2681821 3061827 3235326 4852989 5363642 6123654 8045463 9185481 9705978 14558967 16090926 18370962 24136389 27556443 29117934 43676901 48272778 55112886 72409167 87353802 131030703 144818334 217227501 262061406 404954971 434455002 651682503 809909942 1214864913 1303365006 2429729826 3644594739 7289189478 10933784217 21867568434 32801352651 65602705302 98404057953 196808115906