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190290112320 = 263572113111863
BaseRepresentation
bin1011000100111000101…
…1001010111101000000
3200012011122102021122210
42301032023022331000
511104203232043240
6223230145302120
716514365160400
oct2611613127500
9605148367583
10190290112320
1173779897940
1230a67934940
1314c3777a0c9
1492d26ba800
154e3acc0780
hex2c4e2caf40

190290112320 has 672 divisors, whose sum is σ = 791502299136. Its totient is φ = 38262067200.

The previous prime is 190290112237. The next prime is 190290112339. The reversal of 190290112320 is 23211092091.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16034709 + ... + 16046571.

Almost surely, 2190290112320 is an apocalyptic number.

190290112320 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 190290112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395751149568).

190290112320 is an abundant number, since it is smaller than the sum of its proper divisors (601212186816).

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

190290112320 is a wasteful number, since it uses less digits than its factorization.

190290112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11939 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 190290112320 in words is "one hundred ninety billion, two hundred ninety million, one hundred twelve thousand, three hundred twenty".