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190429248960 = 26325281235307
BaseRepresentation
bin1011000101011001110…
…1111011110111000000
3200012112100020011020200
42301112131323313000
511104444341431320
6223252035405200
716521004623516
oct2612635736700
9605470204220
10190429248960
117384038a2a5
1230aa6453800
1314c5a544492
149306d784b6
154e48106290
hex2c5677bdc0

190429248960 has 168 divisors, whose sum is σ = 657331015536. Its totient is φ = 50600202240.

The previous prime is 190429248953. The next prime is 190429249033. The reversal of 190429248960 is 69842924091.

190429248960 is a `hidden beast` number, since 1 + 90 + 429 + 2 + 48 + 96 + 0 = 666.

It is a super-2 number, since 2×1904292489602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 190429248897 and 190429248906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691627 + ... + 926933.

Almost surely, 2190429248960 is an apocalyptic number.

190429248960 is a gapful number since it is divisible by the number (10) 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 190429248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328665507768).

190429248960 is an abundant number, since it is smaller than the sum of its proper divisors (466901766576).

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

190429248960 is a wasteful number, since it uses less digits than its factorization.

190429248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235611 (or 235598 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 190429248960 in words is "one hundred ninety billion, four hundred twenty-nine million, two hundred forty-eight thousand, nine hundred sixty".