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155324164224 = 2735354114107
BaseRepresentation
bin1001000010101000001…
…0101010100010000000
3112211220210211002011010
42100222002222202000
510021100441223344
6155204355520520
714136035416635
oct2205202524200
9484823732133
10155324164224
115a966494579
12261298b9140
13118546197a8
14773691618c
1540912198b9
hex242a0aa880

155324164224 has 128 divisors (see below), whose sum is σ = 421171202880. Its totient is φ = 50700349440.

The previous prime is 155324164211. The next prime is 155324164249. The reversal of 155324164224 is 422461423551.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11003379 + ... + 11017485.

Almost surely, 2155324164224 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 155324164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210585601440).

155324164224 is an abundant number, since it is smaller than the sum of its proper divisors (265847038656).

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

155324164224 is a wasteful number, since it uses less digits than its factorization.

155324164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 14706 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

Adding to 155324164224 its reverse (422461423551), we get a palindrome (577785587775).

The spelling of 155324164224 in words is "one hundred fifty-five billion, three hundred twenty-four million, one hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 541 636 848 1082 1272 1623 1696 2164 2544 3246 3392 4328 5088 6492 6784 8656 10176 12984 14107 17312 20352 25968 28214 28673 34624 42321 51936 56428 57346 69248 84642 86019 103872 112856 114692 169284 172038 207744 225712 229384 338568 344076 451424 458768 677136 688152 747671 902848 917536 1354272 1376304 1495342 1805696 1835072 2243013 2708544 2752608 2990684 3670144 4486026 5417088 5505216 5981368 7631887 8972052 11010432 11962736 15263774 17944104 22895661 23925472 30527548 35888208 45791322 47850944 61055096 71776416 91582644 95701888 122110192 143552832 183165288 244220384 287105664 366330576 404490011 488440768 732661152 808980022 976881536 1213470033 1465322304 1617960044 2426940066 2930644608 3235920088 4853880132 6471840176 9707760264 12943680352 19415520528 25887360704 38831041056 51774721408 77662082112 155324164224