Search a number
-
+
483192828036 = 22355327533407
BaseRepresentation
bin1110000100000001000…
…10010111000010000100
31201012012112112220200000
413002000202113002010
530404034330444121
61005550431121300
746623653162112
oct7020042270204
91635175486600
10483192828036
11176a14833436
1279790373230
13367460a03c9
141955adbaab2
15c88034a526
hex7080897084

483192828036 has 144 divisors (see below), whose sum is σ = 1291387878144. Its totient is φ = 157921560576.

The previous prime is 483192828031. The next prime is 483192828047. The reversal of 483192828036 is 630828291384.

483192828036 is a `hidden beast` number, since 48 + 319 + 2 + 8 + 280 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (483192828031) 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, 141821845 + ... + 141825251.

It is an arithmetic number, because the mean of its divisors is an integer number (8967971376).

Almost surely, 2483192828036 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 483192828036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645693939072).

483192828036 is an abundant number, since it is smaller than the sum of its proper divisors (808195050108).

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

483192828036 is a wasteful number, since it uses less digits than its factorization.

483192828036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 483192828036 in words is "four hundred eighty-three billion, one hundred ninety-two million, eight hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1431 1908 2753 2862 3407 4293 5506 5724 6814 8259 8586 10221 11012 12879 13628 16518 17172 20442 24777 25758 30663 33036 40884 49554 51516 61326 74331 91989 99108 122652 145909 148662 180571 183978 222993 275967 291818 297324 361142 367956 437727 445986 541713 551934 583636 668979 722284 827901 875454 891972 1083426 1103868 1313181 1337958 1625139 1655802 1750908 2166852 2626362 2675916 3250278 3311604 3939543 4875417 5252724 6500556 7879086 9379471 9750834 11818629 14626251 15758172 18758942 19501668 23637258 28138413 29252502 35455887 37517884 43878753 47274516 56276826 58505004 70911774 84415239 87757506 112553652 141823548 168830478 175515012 253245717 337660956 497111963 506491434 759737151 994223926 1012982868 1491335889 1519474302 1988447852 2279211453 2982671778 3038948604 4474007667 4558422906 5965343556 8948015334 9116845812 13422023001 17896030668 26844046002 40266069003 53688092004 80532138006 120798207009 161064276012 241596414018 483192828036