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5150654432 = 257112307619
BaseRepresentation
bin1001100110000000…
…01011111111100000
3111021221212100120222
410303000023333200
541022031420212
62211032222212
7241431561140
oct46300137740
914257770528
105150654432
112203456a00
12bb8b3a968
13641129621
1436c0ba920
152022b4c72
hex13300bfe0

5150654432 has 144 divisors (see below), whose sum is σ = 12800430720. Its totient is φ = 1996980480.

The previous prime is 5150654419. The next prime is 5150654447. The reversal of 5150654432 is 2344560515.

It is a junction number, because it is equal to n+sod(n) for n = 5150654392 and 5150654401.

It is a congruent number.

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, 8320619 + ... + 8321237.

It is an arithmetic number, because the mean of its divisors is an integer number (88891880).

Almost surely, 25150654432 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 5150654432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400215360).

5150654432 is an abundant number, since it is smaller than the sum of its proper divisors (7649776288).

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

5150654432 is a wasteful number, since it uses less digits than its factorization.

5150654432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 5150654432 is about 71768.0599709927. The cubic root of 5150654432 is about 1726.9806480853.

The spelling of 5150654432 in words is "five billion, one hundred fifty million, six hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 307 308 352 484 614 616 619 847 968 1228 1232 1238 1694 1936 2149 2456 2464 2476 3377 3388 3872 4298 4333 4912 4952 6754 6776 6809 8596 8666 9824 9904 13508 13552 13618 17192 17332 19808 23639 27016 27104 27236 34384 34664 37147 47278 47663 54032 54472 68768 69328 74294 74899 94556 95326 108064 108944 138656 148588 149798 189112 190033 190652 217888 260029 297176 299596 378224 380066 381304 520058 524293 594352 599192 756448 760132 762608 1040116 1048586 1188704 1198384 1330231 1520264 1525216 2080232 2090363 2097172 2396768 2660462 3040528 4160464 4180726 4194344 5320924 6081056 8320928 8361452 8388688 10641848 14632541 16722904 16777376 21283696 22993993 29265082 33445808 42567392 45987986 58530164 66891616 91975972 117060328 160957951 183951944 234120656 321915902 367903888 468241312 643831804 735807776 1287663608 2575327216 5150654432