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113720552672430 = 235111918629209089
BaseRepresentation
bin11001110110110110100001…
…001001010100110010101110
3112220122120121211210101121010
4121312312201021110302232
5104401144142441004210
61041510300051450050
732645016210446154
oct3166664111246256
9486576554711533
10113720552672430
1133264685327560
121090797abb6926
134b5ba572b0912
1420121659ab3d4
15d231ec549920
hex676da1254cae

113720552672430 has 128 divisors (see below), whose sum is σ = 299336054169600. Its totient is φ = 27420971212800.

The previous prime is 113720552672413. The next prime is 113720552672443. The reversal of 113720552672430 is 34276255027311.

It is a self number, because there is not a number n which added to its sum of digits gives 113720552672430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543781326 + ... + 543990414.

It is an arithmetic number, because the mean of its divisors is an integer number (2338562923200).

Almost surely, 2113720552672430 is an apocalyptic number.

113720552672430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113720552672430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149668027084800).

113720552672430 is an abundant number, since it is smaller than the sum of its proper divisors (185615501497170).

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

113720552672430 is a wasteful number, since it uses less digits than its factorization.

113720552672430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217930.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 113720552672430 in words is "one hundred thirteen trillion, seven hundred twenty billion, five hundred fifty-two million, six hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 573 955 1146 1910 2101 2865 4202 5730 6303 8629 10505 12606 17258 21010 25887 31515 43145 51774 63030 86290 94919 129435 189838 209089 258870 284757 418178 474595 569514 627267 949190 1045445 1254534 1423785 1648139 2090890 2299979 2847570 3136335 3296278 4599958 4944417 6272670 6899937 8240695 9888834 11499895 13799874 16481390 18129529 22999790 24722085 34499685 36259058 39935999 49444170 54388587 68999370 79871998 90647645 108777174 119807997 181295290 199679995 239615994 271942935 399359990 439295989 543885870 599039985 878591978 1198079970 1317887967 1804228981 2196479945 2635775934 3608457962 4392959890 5412686943 6589439835 9021144905 10825373886 13178879670 18042289810 19846518791 27063434715 39693037582 54126869430 59539556373 99232593955 119079112746 198465187910 297697781865 344607735371 595395563730 689215470742 1033823206113 1723038676855 2067646412226 3446077353710 3790685089081 5169116030565 7581370178162 10338232061130 11372055267243 18953425445405 22744110534486 37906850890810 56860276336215 113720552672430