Search a number
-
+
106574672952 = 233211134563981
BaseRepresentation
bin110001101000001011…
…0000111010000111000
3101012002101001100000100
41203100112013100320
53221231104013302
6120543145035400
710462006526136
oct1432026072070
9335071040010
10106574672952
114121a696210
12187a3785b60
13a085977077
145230302756
152b8b53ad1c
hex18d0587438

106574672952 has 48 divisors (see below), whose sum is σ = 314879717880. Its totient is φ = 32295355200.

The previous prime is 106574672933. The next prime is 106574672957. The reversal of 106574672952 is 259276475601.

It is a happy number.

106574672952 is a `hidden beast` number, since 1 + 0 + 6 + 574 + 67 + 2 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×1065746729522 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106574672957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67281199 + ... + 67282782.

Almost surely, 2106574672952 is an apocalyptic number.

106574672952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106574672952 is an abundant number, since it is smaller than the sum of its proper divisors (208305044928).

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

106574672952 is a wasteful number, since it uses less digits than its factorization.

106574672952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134564004 (or 134563997 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 106574672952 in words is "one hundred six billion, five hundred seventy-four million, six hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 134563981 269127962 403691943 538255924 807383886 1076511848 1211075829 1480203791 1614767772 2422151658 2960407582 3229535544 4440611373 4844303316 5920815164 8881222746 9688606632 11841630328 13321834119 17762445492 26643668238 35524890984 53287336476 106574672952