Search a number
-
+
106552155204 = 223211247520447
BaseRepresentation
bin110001100111100000…
…0001101110001000100
3101012000210200022110200
41203033000031301010
53221204322431304
6120541022250500
710461314242545
oct1431700156104
9335023608420
10106552155204
1141208a06300
1218798126a30
13a0810c1961
14522b3204cc
152b8958de39
hex18cf00dc44

106552155204 has 108 divisors (see below), whose sum is σ = 302351142912. Its totient is φ = 31601481120.

The previous prime is 106552155181. The next prime is 106552155313. The reversal of 106552155204 is 402551255601.

106552155204 is a `hidden beast` number, since 1 + 0 + 65 + 521 + 55 + 20 + 4 = 666.

It is a super-2 number, since 2×1065521552042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55492 + ... + 464955.

Almost surely, 2106552155204 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 106552155204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151175571456).

106552155204 is an abundant number, since it is smaller than the sum of its proper divisors (195798987708).

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

106552155204 is a wasteful number, since it uses less digits than its factorization.

106552155204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520526 (or 520510 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 106552155204 in words is "one hundred six billion, five hundred fifty-two million, one hundred fifty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 121 132 141 188 198 242 282 363 396 423 484 517 564 726 846 1034 1089 1452 1551 1692 2068 2178 3102 4356 4653 5687 6204 9306 11374 17061 18612 22748 34122 51183 68244 102366 204732 520447 1040894 1561341 2081788 3122682 4684023 5724917 6245364 9368046 11449834 17174751 18736092 22899668 24461009 34349502 48922018 51524253 62974087 68699004 73383027 97844036 103048506 125948174 146766054 188922261 206097012 220149081 251896348 269071099 293532108 377844522 440298162 538142198 566766783 755689044 807213297 880596324 1076284396 1133533566 1614426594 2267067132 2421639891 2959782089 3228853188 4843279782 5919564178 8879346267 9686559564 11839128356 17758692534 26638038801 35517385068 53276077602 106552155204