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4954450956 = 22372135931093
BaseRepresentation
bin1001001110100111…
…01110110000001100
3110210021200012000120
410213103232300030
540121314412311
62135343024540
7233530065300
oct44723566014
913707605016
104954450956
112112727374
12b6329b150
1360c5a13b0
14350005d00
151dee5a706
hex1274eec0c

4954450956 has 144 divisors (see below), whose sum is σ = 14519935584. Its totient is φ = 1303271424.

The previous prime is 4954450939. The next prime is 4954450961. The reversal of 4954450956 is 6590544594.

It is a junction number, because it is equal to n+sod(n) for n = 4954450899 and 4954450908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4532346 + ... + 4533438.

It is an arithmetic number, because the mean of its divisors is an integer number (100832886).

Almost surely, 24954450956 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 4954450956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259967792).

4954450956 is an abundant number, since it is smaller than the sum of its proper divisors (9565484628).

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

4954450956 is a wasteful number, since it uses less digits than its factorization.

4954450956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The square root of 4954450956 is about 70387.8608568267. The cubic root of 4954450956 is about 1704.7675807979.

The spelling of 4954450956 in words is "four billion, nine hundred fifty-four million, four hundred fifty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 593 637 1092 1093 1186 1274 1779 1911 2186 2372 2548 3279 3558 3822 4151 4372 6558 7116 7644 7651 7709 8302 12453 13116 14209 15302 15418 16604 22953 23127 24906 28418 29057 30604 30836 42627 45906 46254 49812 53557 53963 56836 58114 85254 87171 91812 92508 99463 107114 107926 116228 160671 161889 170508 174342 198926 214228 215852 298389 321342 323778 348684 377741 397852 596778 642684 647556 648149 696241 755482 1133223 1193556 1296298 1392482 1510964 1944447 2088723 2266446 2592596 2784964 3888894 4177446 4532892 4537043 7777788 8354892 8425937 9074086 13611129 16851874 18148172 25277811 27222258 31759301 33703748 50555622 54444516 58981559 63518602 95277903 101111244 117963118 127037204 176944677 190555806 235926236 353889354 381111612 412870913 707778708 825741826 1238612739 1651483652 2477225478 4954450956