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190713856333 = 72116133
BaseRepresentation
bin1011000110011101101…
…1101000000101001101
3200020021011202201011111
42301213123220011031
511111040221400313
6223340203452021
716531032013600
oct2614733500515
9606234681144
10190713856333
1173977000000
1230b65827011
1314ca44b3000
149332aa2337
154e630c443d
hex2c676e814d

190713856333 has 84 divisors (see below), whose sum is σ = 264362948220. Its totient is φ = 137176799760.

The previous prime is 190713856279. The next prime is 190713856339. The reversal of 190713856333 is 333658317091.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

190713856333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7031325609 + 183682530724 = 83853^2 + 428582^2 .

It is not a de Polignac number, because 190713856333 - 217 = 190713725261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190713856339) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 14670296635 + ... + 14670296647.

It is an arithmetic number, because the mean of its divisors is an integer number (3147177955).

Almost surely, 2190713856333 is an apocalyptic number.

190713856333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

190713856333 is a deficient number, since it is larger than the sum of its proper divisors (73649091887).

190713856333 is an frugal number, since it uses more digits than its factorization.

190713856333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

190713856333 divided by its sum of digits (49) gives a cube (3892119517 = 15733).

The spelling of 190713856333 in words is "one hundred ninety billion, seven hundred thirteen million, eight hundred fifty-six thousand, three hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 121 143 169 539 637 847 1001 1183 1331 1573 1859 2197 5929 7007 8281 9317 11011 13013 14641 15379 17303 20449 24167 65219 77077 91091 102487 107653 121121 143143 161051 169169 190333 224939 265837 717409 847847 1002001 1127357 1184183 1332331 1574573 1771561 1860859 2093663 2474329 2924207 7891499 9326317 11022011 12400927 13026013 14655641 17320303 20469449 23030293 27217619 32166277 86806489 102589487 121242121 143286143 161212051 190523333 225163939 299393809 353829047 1128484357 1333663331 1576147573 2095756663 2476803329 3892119517 14670296641 17337623303 27244836619 190713856333