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190356506340 = 22357211132291201
BaseRepresentation
bin1011000101001000100…
…0011100011011100100
3200012100021100110010120
42301102020130123210
511104322231200330
6223240520321540
716516132415100
oct2612210343344
9605307313116
10190356506340
1173803315730
1230a860132b0
1314c48455500
1492db440900
154e41a37c10
hex2c5221c6e4

190356506340 has 864 divisors, whose sum is σ = 758301989760. Its totient is φ = 35223552000.

The previous prime is 190356506339. The next prime is 190356506341. The reversal of 190356506340 is 43605653091.

It is an interprime number because it is at equal distance from previous prime (190356506339) and next prime (190356506341).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 190356506292 and 190356506301.

It is not an unprimeable number, because it can be changed into a prime (190356506341) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158497740 + ... + 158498940.

It is an arithmetic number, because the mean of its divisors is an integer number (877664340).

Almost surely, 2190356506340 is an apocalyptic number.

190356506340 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 190356506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379150994880).

190356506340 is an abundant number, since it is smaller than the sum of its proper divisors (567945483420).

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

190356506340 is a wasteful number, since it uses less digits than its factorization.

190356506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

It can be divided in two parts, 190356 and 506340, that added together give a palindrome (696696).

The spelling of 190356506340 in words is "one hundred ninety billion, three hundred fifty-six million, five hundred six thousand, three hundred forty".