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5502120642 = 2332943101809
BaseRepresentation
bin1010001111111001…
…11011001011000010
3112012110012200121000
411013330323023002
542232020330032
62305545312430
7253230153024
oct50774731302
915173180530
105502120642
112373892747
121096795716
13698ba6cb5
143a2a4a014
1522308ce7c
hex147f3b2c2

5502120642 has 128 divisors (see below), whose sum is σ = 13087008000. Its totient is φ = 1710374400.

The previous prime is 5502120623. The next prime is 5502120667. The reversal of 5502120642 is 2460212055.

5502120642 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 12 + 0 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6800734 + ... + 6801542.

It is an arithmetic number, because the mean of its divisors is an integer number (102242250).

Almost surely, 25502120642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5502120642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543504000).

5502120642 is an abundant number, since it is smaller than the sum of its proper divisors (7584887358).

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

5502120642 is a wasteful number, since it uses less digits than its factorization.

5502120642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5502120642 is about 74176.2808585062. The cubic root of 5502120642 is about 1765.4010053283.

Adding to 5502120642 its reverse (2460212055), we get a palindrome (7962332697).

The spelling of 5502120642 in words is "five billion, five hundred two million, one hundred twenty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 43 54 58 86 87 101 129 174 202 258 261 303 387 522 606 774 783 809 909 1161 1247 1566 1618 1818 2322 2427 2494 2727 2929 3741 4343 4854 5454 5858 7281 7482 8686 8787 11223 13029 14562 17574 21843 22446 23461 26058 26361 33669 34787 39087 43686 46922 52722 67338 69574 70383 78174 79083 81709 104361 117261 125947 140766 158166 163418 208722 211149 234522 245127 251894 313083 377841 422298 490254 626166 633447 735381 755682 939249 1008823 1133523 1266894 1470762 1878498 2017646 2206143 2267046 2369561 3026469 3400569 3513487 4412286 4739122 6052938 6801138 7026974 7108683 9079407 10540461 14217366 18158814 21080922 21326049 27238221 31621383 42652098 54476442 63242766 63978147 94864149 101891123 127956294 189728298 203782246 305673369 611346738 917020107 1834040214 2751060321 5502120642