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4900363416 = 23321319275549
BaseRepresentation
bin1001001000001010…
…11001110010011000
3110122111220020212100
410210011121302120
540013443112131
62130131443400
7232302254544
oct44405316230
913574806770
104900363416
112095144623
12b49156560
13601314630
14346b66a24
151da3247e6
hex124159c98

4900363416 has 96 divisors (see below), whose sum is σ = 15045030000. Its totient is φ = 1428440832.

The previous prime is 4900363399. The next prime is 4900363427. The reversal of 4900363416 is 6143630094.

4900363416 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 3 + 634 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119991 + ... + 155558.

Almost surely, 24900363416 is an apocalyptic number.

It is an amenable number.

4900363416 is an abundant number, since it is smaller than the sum of its proper divisors (10144666584).

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

4900363416 is a wasteful number, since it uses less digits than its factorization.

4900363416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275593 (or 275586 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4900363416 is about 70002.5957804423. The cubic root of 4900363416 is about 1698.5412418027.

The spelling of 4900363416 in words is "four billion, nine hundred million, three hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 275549 551098 826647 1102196 1653294 2204392 2479941 3306588 3582137 4959882 5235431 6613176 7164274 9919764 10470862 10746411 14328548 15706293 19839528 20941724 21492822 28657096 31412586 32239233 41883448 42985644 47118879 62825172 64478466 68060603 85971288 94237758 125650344 128956932 136121206 188475516 204181809 257913864 272242412 376951032 408363618 544484824 612545427 816727236 1225090854 1633454472 2450181708 4900363416