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213929027382 = 237210125128703
BaseRepresentation
bin1100011100111100101…
…0011110011100110110
3202110012002012120221110
43013033022132130312
512001111312334012
6242135545255450
721312234505200
oct3071712363466
9673162176843
10213929027382
11827aa3a4684
1235564494586
131723400b905
14a4d5da1770
15587123873c
hex31cf29e736

213929027382 has 96 divisors (see below), whose sum is σ = 504660409344. Its totient is φ = 60274200000.

The previous prime is 213929027381. The next prime is 213929027489. The reversal of 213929027382 is 283720929312.

It is a happy number.

213929027382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213929027381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7438843 + ... + 7467545.

It is an arithmetic number, because the mean of its divisors is an integer number (5256879264).

Almost surely, 2213929027382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213929027382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252330204672).

213929027382 is an abundant number, since it is smaller than the sum of its proper divisors (290731381962).

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

213929027382 is a wasteful number, since it uses less digits than its factorization.

213929027382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29074 (or 29067 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 213929027382 in words is "two hundred thirteen billion, nine hundred twenty-nine million, twenty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 251 294 303 502 606 707 753 1414 1506 1757 2121 3514 4242 4949 5271 9898 10542 12299 14847 24598 25351 28703 29694 36897 50702 57406 73794 76053 86109 152106 172218 177457 200921 354914 401842 532371 602763 1064742 1205526 1242199 1406447 2484398 2812894 2899003 3726597 4219341 5798006 7204453 7453194 8438682 8697009 14408906 17394018 20293021 21613359 40586042 43226718 50431171 60879063 100862342 121758126 142051147 151293513 284102294 302587026 353018197 426153441 706036394 727649753 852306882 1059054591 1455299506 2118109182 2182949259 4365898518 5093548271 10187096542 15280644813 30561289626 35654837897 71309675794 106964513691 213929027382