Search a number
-
+
192237113800704 = 211373195878179
BaseRepresentation
bin101011101101011010110000…
…111000010111100000000000
3221012122200120222200202120210
4223231122300320113200000
5200144103102113110304
61520504302205034120
755330446613332000
oct5355326070274000
9835580528622523
10192237113800704
1156286336147085
1219688a10555940
138335b60b1b20b
14356847c5b2000
1517357dd9bec89
hexaed6b0e17800

192237113800704 has 768 divisors, whose sum is σ = 630281433600000. Its totient is φ = 51939110780928.

The previous prime is 192237113800591. The next prime is 192237113800727. The reversal of 192237113800704 is 407008311732291.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23503738887 + ... + 23503747065.

It is an arithmetic number, because the mean of its divisors is an integer number (820678950000).

Almost surely, 2192237113800704 is an apocalyptic number.

192237113800704 is a gapful number since it is divisible by the number (14) 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 192237113800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315140716800000).

192237113800704 is an abundant number, since it is smaller than the sum of its proper divisors (438044319799296).

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

192237113800704 is an equidigital number, since it uses as much as digits as its factorization.

192237113800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 192237113800704 in words is "one hundred ninety-two trillion, two hundred thirty-seven billion, one hundred thirteen million, eight hundred thousand, seven hundred four".