Search a number
-
+
35104106075052 = 22372318169827161
BaseRepresentation
bin1111111101101010011111…
…10001011101001110101100
311121021220211111202110012210
413332311033301131032230
514100121202123400202
6202354334222130420
710252121321240220
oct776651761351654
9147256744673183
1035104106075052
1110204627798673
123b2b4b2120a10
1316783c28c4351
1489509523a780
1540d211e5ec6c
hex1fed4fc5d3ac

35104106075052 has 48 divisors (see below), whose sum is σ = 97680990822912. Its totient is φ = 9593668740480.

The previous prime is 35104106074963. The next prime is 35104106075057. The reversal of 35104106075052 is 25057060140153.

It is a self number, because there is not a number n which added to its sum of digits gives 35104106075052.

It is not an unprimeable number, because it can be changed into a prime (35104106075057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9084911649 + ... + 9084915512.

It is an arithmetic number, because the mean of its divisors is an integer number (2035020642144).

Almost surely, 235104106075052 is an apocalyptic number.

It is an amenable number.

35104106075052 is an abundant number, since it is smaller than the sum of its proper divisors (62576884747860).

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

35104106075052 is a wasteful number, since it uses less digits than its factorization.

35104106075052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18169827198 (or 18169827196 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 35104106075052 in words is "thirty-five trillion, one hundred four billion, one hundred six million, seventy-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 18169827161 36339654322 54509481483 72679308644 109018962966 127188790127 218037925932 254377580254 381566370381 417906024703 508755160508 763132740762 835812049406 1253718074109 1526265481524 1671624098812 2507436148218 2925342172921 5014872296436 5850684345842 8776026518763 11701368691684 17552053037526 35104106075052