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4916331936 = 25344913863
BaseRepresentation
bin1001001010000100…
…10100010110100000
3110200121221112120000
410211002110112200
540032040110221
62131502020000
7232555063155
oct44502242640
913617845500
104916331936
1120a3160a4a
12b52577600
13604715a69
14348d2222c
151db92ae26
hex1250945a0

4916331936 has 120 divisors (see below), whose sum is σ = 14491993824. Its totient is φ = 1635016320.

The previous prime is 4916331919. The next prime is 4916331971. The reversal of 4916331936 is 6391336194.

4916331936 is a `hidden beast` number, since 4 + 9 + 1 + 633 + 1 + 9 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4916331891 and 4916331900.

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 19 ways as a sum of consecutive naturals, for example, 1270741 + ... + 1274603.

Almost surely, 24916331936 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 4916331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245996912).

4916331936 is an abundant number, since it is smaller than the sum of its proper divisors (9575661888).

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

4916331936 is a wasteful number, since it uses less digits than its factorization.

4916331936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4359 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 4916331936 is about 70116.5596417850. The cubic root of 4916331936 is about 1700.3842194992.

The spelling of 4916331936 in words is "four billion, nine hundred sixteen million, three hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 491 648 864 982 1296 1473 1964 2592 2946 3863 3928 4419 5892 7726 7856 8838 11589 11784 13257 15452 15712 17676 23178 23568 26514 30904 34767 35352 39771 46356 47136 53028 61808 69534 70704 79542 92712 104301 106056 123616 139068 141408 159084 185424 208602 212112 278136 312903 318168 370848 417204 424224 556272 625806 636336 834408 1112544 1251612 1272672 1668816 1896733 2503224 3337632 3793466 5006448 5690199 7586932 10012896 11380398 15173864 17070597 22760796 30347728 34141194 45521592 51211791 60695456 68282388 91043184 102423582 136564776 153635373 182086368 204847164 273129552 307270746 409694328 546259104 614541492 819388656 1229082984 1638777312 2458165968 4916331936