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231642131604 = 2231331312133911
BaseRepresentation
bin1101011110111011110…
…0100110110010010100
3211010220112112111221120
43113232330212302110
512243400341202404
6254225342443540
722510210426362
oct3275674466224
9733815474846
10231642131604
118a269a42a94
1238a885935b0
1318ac797bb80
14b2d666a632
15605b3209d9
hex35eef26c94

231642131604 has 96 divisors (see below), whose sum is σ = 584565590784. Its totient is φ = 70970065920.

The previous prime is 231642131509. The next prime is 231642131627. The reversal of 231642131604 is 406131246132.

It is a happy number.

It is a super-2 number, since 2×2316421316042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59226409 + ... + 59230319.

It is an arithmetic number, because the mean of its divisors is an integer number (6089224904).

Almost surely, 2231642131604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231642131604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292282795392).

231642131604 is an abundant number, since it is smaller than the sum of its proper divisors (352923459180).

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

231642131604 is a wasteful number, since it uses less digits than its factorization.

231642131604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 231642131604 its reverse (406131246132), we get a palindrome (637773377736).

The spelling of 231642131604 in words is "two hundred thirty-one billion, six hundred forty-two million, one hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 313 626 939 1213 1252 1878 2426 3639 3756 3911 4069 4852 7278 7822 8138 11733 12207 14556 15644 15769 16276 23466 24414 31538 46932 47307 48828 50843 63076 94614 101686 152529 189228 203372 305058 379669 610116 759338 1139007 1224143 1518676 2278014 2448286 3672429 4556028 4744043 4896572 4935697 7344858 9488086 9871394 14232129 14689716 14807091 15913859 18976172 19742788 28464258 29614182 31827718 47741577 56928516 59228364 61672559 63655436 95483154 123345118 185017677 190966308 246690236 370035354 740070708 1484885459 2969770918 4454656377 5939541836 8909312754 17818625508 19303510967 38607021934 57910532901 77214043868 115821065802 231642131604