Search a number
-
+
32795485002 = 23271959232187
BaseRepresentation
bin11110100010110000…
…110110001101001010
310010122120111020212200
4132202300312031022
51014131121010002
623022133021030
72240463010620
oct364260661512
9103576436780
1032795485002
11129aa218315
126433184776
1331285a1237
141831815510
15cbe270b1c
hex7a2c3634a

32795485002 has 96 divisors (see below), whose sum is σ = 86931187200. Its totient is φ = 8726478624.

The previous prime is 32795484949. The next prime is 32795485007. The reversal of 32795485002 is 20058459723.

32795485002 is a `hidden beast` number, since 32 + 79 + 5 + 48 + 500 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (32795485007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25153 + ... + 257339.

It is an arithmetic number, because the mean of its divisors is an integer number (905533200).

Almost surely, 232795485002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32795485002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43465593600).

32795485002 is an abundant number, since it is smaller than the sum of its proper divisors (54135702198).

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

32795485002 is a wasteful number, since it uses less digits than its factorization.

32795485002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232280 (or 232277 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 32795485002 in words is "thirty-two billion, seven hundred ninety-five million, four hundred eighty-five thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 59 63 114 118 126 133 171 177 266 342 354 399 413 531 798 826 1062 1121 1197 1239 2242 2394 2478 3363 3717 6726 7434 7847 10089 15694 20178 23541 47082 70623 141246 232187 464374 696561 1393122 1625309 2089683 3250618 4179366 4411553 4875927 8823106 9751854 13234659 13699033 14627781 26469318 27398066 29255562 30880871 39703977 41097099 61761742 79407954 82194198 92642613 95893231 123291297 185285226 191786462 246582594 260281627 277927839 287679693 520563254 555855678 575359386 780844881 863039079 1561689762 1726078158 1821971389 2342534643 3643942778 4685069286 5465914167 10931828334 16397742501 32795485002