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2079629501532 = 22311179557158017
BaseRepresentation
bin11110010000110011100…
…100111110010001011100
321100210212221210122121120
4132100303210332101130
5233033040123022112
64231211341330540
7303151105046142
oct36206344762134
97323787718546
102079629501532
11731a69701990
12297067866a50
131211539b6a0b
1472924343592
1539168bb3e8c
hex1e43393e45c

2079629501532 has 96 divisors (see below), whose sum is σ = 5332766181120. Its totient is φ = 625541099520.

The previous prime is 2079629501531. The next prime is 2079629501581. The reversal of 2079629501532 is 2351059269702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079629501531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13081788 + ... + 13239804.

It is an arithmetic number, because the mean of its divisors is an integer number (55549647720).

Almost surely, 22079629501532 is an apocalyptic number.

2079629501532 is a gapful number since it is divisible by the number (22) 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 2079629501532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666383090560).

2079629501532 is an abundant number, since it is smaller than the sum of its proper divisors (3253136679588).

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

2079629501532 is a wasteful number, since it uses less digits than its factorization.

2079629501532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158771 (or 158769 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 2079629501532 in words is "two trillion, seventy-nine billion, six hundred twenty-nine million, five hundred one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 557 716 1074 1114 1671 1969 2148 2228 3342 3938 5907 6127 6684 7876 11814 12254 18381 23628 24508 36762 73524 99703 158017 199406 299109 316034 398812 474051 598218 632068 948102 1096733 1196436 1738187 1896204 2193466 3290199 3476374 4386932 5214561 6580398 6952748 10429122 13160796 20858244 28285043 56570086 84855129 88015469 113140172 169710258 176030938 264046407 311135473 339420516 352061876 528092814 622270946 933406419 968170159 1056185628 1244541892 1866812838 1936340318 2904510477 3733625676 3872680636 5809020954 11618041908 15754768951 31509537902 47264306853 63019075804 94528613706 173302458461 189057227412 346604916922 519907375383 693209833844 1039814750766 2079629501532