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106032256506 = 23211805366499
BaseRepresentation
bin110001011000000000…
…0111101010111111010
3101010200120101201112100
41202300000331113322
53214123224202011
6120413251124230
710442402211111
oct1426000752772
9333616351470
10106032256506
1140a71498760
1218671ba3676
139cca4905a7
1451bc268c78
152b58ae4d56
hex18b003d5fa

106032256506 has 48 divisors (see below), whose sum is σ = 250656588000. Its totient is φ = 32126513760.

The previous prime is 106032256411. The next prime is 106032256511. The reversal of 106032256506 is 605652230601.

It is a happy number.

106032256506 is a `hidden beast` number, since 1 + 0 + 60 + 32 + 2 + 565 + 0 + 6 = 666.

It is a super-2 number, since 2×1060322565062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561245 + ... + 1627743.

It is an arithmetic number, because the mean of its divisors is an integer number (5222012250).

Almost surely, 2106032256506 is an apocalyptic number.

106032256506 is an abundant number, since it is smaller than the sum of its proper divisors (144624331494).

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

106032256506 is a wasteful number, since it uses less digits than its factorization.

106032256506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74571 (or 74568 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106032256506 in words is "one hundred six billion, thirty-two million, two hundred fifty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 8053 16106 24159 48318 66499 72477 88583 132998 144954 177166 199497 265749 398994 531498 598491 731489 797247 1196982 1462978 1594494 2194467 4388934 6583401 13166802 535516447 1071032894 1606549341 3213098682 4819648023 5890680917 9639296046 11781361834 17672042751 35344085502 53016128253 106032256506