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83504414052 = 2235175053523
BaseRepresentation
bin100110111000101000…
…0000011110101100100
321222112120021202100000
41031301100003311210
52332004112222202
6102210021221300
76014213544123
oct1156120036544
9258476252300
1083504414052
1132461079244
1214225561830
137b4a1885b7
144082365aba
15228ae9d91c
hex1371403d64

83504414052 has 72 divisors (see below), whose sum is σ = 231774824736. Its totient is φ = 26197458048.

The previous prime is 83504414051. The next prime is 83504414053. The reversal of 83504414052 is 25041440538.

It is a happy number.

83504414052 is a `hidden beast` number, since 8 + 3 + 504 + 4 + 140 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (83504414051) and next prime (83504414053).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83504413998 and 83504414016.

It is not an unprimeable number, because it can be changed into a prime (83504414051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2510238 + ... + 2543285.

It is an arithmetic number, because the mean of its divisors is an integer number (3219094788).

Almost surely, 283504414052 is an apocalyptic number.

It is an amenable number.

83504414052 is an abundant number, since it is smaller than the sum of its proper divisors (148270410684).

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

83504414052 is a wasteful number, since it uses less digits than its factorization.

83504414052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053559 (or 5053545 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 83504414052 in words is "eighty-three billion, five hundred four million, four hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 5053523 10107046 15160569 20214092 30321138 45481707 60642276 85909891 90963414 136445121 171819782 181926828 257729673 272890242 343639564 409335363 515459346 545780484 773189019 818670726 1030918692 1228006089 1546378038 1637341452 2319567057 2456012178 3092756076 4639134114 4912024356 6958701171 9278268228 13917402342 20876103513 27834804684 41752207026 83504414052