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4903723136 = 27134017349
BaseRepresentation
bin1001001000100100…
…01110000010000000
3110122202012221112102
410210102032002000
540020323120021
62130331445532
7232342646624
oct44422160200
913582187472
104903723136
112097029854
12b4a2b68a8
13601c1c930
1434739d184
151da78a00b
hex12448e080

4903723136 has 64 divisors (see below), whose sum is σ = 10548279000. Its totient is φ = 2257305600.

The previous prime is 4903723067. The next prime is 4903723163. The reversal of 4903723136 is 6313273094.

It can be written as a sum of positive squares in 4 ways, for example, as 4796393536 + 107329600 = 69256^2 + 10360^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4903723136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663590 + ... + 670938.

Almost surely, 24903723136 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 4903723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274139500).

4903723136 is an abundant number, since it is smaller than the sum of its proper divisors (5644555864).

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

4903723136 is a wasteful number, since it uses less digits than its factorization.

4903723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 4903723136 is about 70026.5887788346. The cubic root of 4903723136 is about 1698.9293299795.

The spelling of 4903723136 in words is "four billion, nine hundred three million, seven hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 401 416 802 832 1604 1664 3208 5213 6416 7349 10426 12832 14698 20852 25664 29396 41704 51328 58792 83408 95537 117584 166816 191074 235168 333632 382148 470336 667264 764296 940672 1528592 2946949 3057184 5893898 6114368 11787796 12228736 23575592 38310337 47151184 76620674 94302368 153241348 188604736 306482696 377209472 612965392 1225930784 2451861568 4903723136