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82881957438 = 23271315239601
BaseRepresentation
bin100110100110000100…
…1100100111000111110
321220221012000200101100
41031030021210320332
52324220240114223
6102024143553530
75662615004610
oct1151411447076
9256835020340
1082881957438
1132171782395
1214090bbb8a6
137a7b229387
144023814db0
1522514e7043
hex134c264e3e

82881957438 has 96 divisors (see below), whose sum is σ = 207215154432. Its totient is φ = 23452416000.

The previous prime is 82881957421. The next prime is 82881957439. The reversal of 82881957438 is 83475918828.

82881957438 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 195 + 7 + 438 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82881957439) 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, 8627838 + ... + 8637438.

It is an arithmetic number, because the mean of its divisors is an integer number (2158491192).

Almost surely, 282881957438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82881957438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103607577216).

82881957438 is an abundant number, since it is smaller than the sum of its proper divisors (124333196994).

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

82881957438 is a wasteful number, since it uses less digits than its factorization.

82881957438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270 (or 10267 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 82881957438 in words is "eighty-two billion, eight hundred eighty-one million, nine hundred fifty-seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 523 786 917 1046 1179 1569 1834 2358 2751 3138 3661 4707 5502 7322 8253 9414 9601 10983 16506 19202 21966 28803 32949 57606 65898 67207 68513 86409 134414 137026 172818 201621 205539 403242 411078 479591 604863 616617 959182 1209726 1233234 1257731 1438773 2515462 2877546 3773193 4316319 5021323 7546386 8632638 8804117 10042646 11319579 15063969 17608234 22639158 26412351 30127938 35149261 45191907 52824702 70298522 79237053 90383814 105447783 158474106 210895566 316343349 632686698 657793313 1315586626 1973379939 3946759878 4604553191 5920139817 9209106382 11840279634 13813659573 27627319146 41440978719 82881957438