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3995933802344 = 23117919124112487
BaseRepresentation
bin111010001001100000001…
…101101111111101101000
3112011000012111102110100222
4322021200031233331220
51010432133023133334
612255412345145212
7561460651620341
oct72114015577550
915130174373328
103995933802344
111300736504140
1254653218b208
1322ca7956a113
14db5932b70c8
156de2400ad2e
hex3a26036ff68

3995933802344 has 128 divisors (see below), whose sum is σ = 8355491020800. Its totient is φ = 1776408192000.

The previous prime is 3995933802331. The next prime is 3995933802347. The reversal of 3995933802344 is 4432083395993.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3995933802347) 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, 320001269 + ... + 320013755.

It is an arithmetic number, because the mean of its divisors is an integer number (65277273600).

Almost surely, 23995933802344 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 3995933802344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177745510400).

3995933802344 is an abundant number, since it is smaller than the sum of its proper divisors (4359557218456).

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

3995933802344 is a wasteful number, since it uses less digits than its factorization.

3995933802344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13015 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 62.

The spelling of 3995933802344 in words is "three trillion, nine hundred ninety-five billion, nine hundred thirty-three million, eight hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 79 88 158 191 241 316 382 482 632 764 869 964 1528 1738 1928 2101 2651 3476 4202 5302 6952 8404 10604 12487 15089 16808 19039 21208 24974 30178 38078 46031 49948 60356 76156 92062 99896 120712 137357 152312 165979 184124 209429 274714 331958 368248 418858 506341 549428 663916 837716 986473 1012682 1098856 1327832 1675432 1972946 2025364 2385017 3009367 3636449 3945892 4050728 4770034 6018734 7272898 7891784 9540068 10851203 12037468 14545796 19080136 21702406 24074936 26235187 29091592 33103037 40000939 43404812 52470374 66206074 80001878 86809624 104940748 132412148 160003756 188416343 209881496 237739993 264824296 320007512 376832686 475479986 574789097 753665372 950959972 1149578194 1507330744 1901919944 2072579773 2299156388 2615139923 4145159546 4598312776 5230279846 6322680067 8290319092 10460559692 12645360134 16580638184 20921119384 25290720268 45408338663 50581440536 90816677326 181633354652 363266709304 499491725293 998983450586 1997966901172 3995933802344