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4216622336 = 281753101181
BaseRepresentation
bin1111101101010100…
…1000110100000000
3101212212022121102122
43323111020310000
532113423403321
61534224503412
7206330461403
oct37325106400
911785277378
104216622336
11187419a853
1299817ab68
13522778904
142c0021d3a
1519a2b48ab
hexfb548d00

4216622336 has 144 divisors (see below), whose sum is σ = 9220590288. Its totient is φ = 1916928000.

The previous prime is 4216622299. The next prime is 4216622363. The reversal of 4216622336 is 6332266124.

It can be written as a sum of positive squares in 8 ways, for example, as 191988736 + 4024633600 = 13856^2 + 63440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4216622296 and 4216622305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23296166 + ... + 23296346.

It is an arithmetic number, because the mean of its divisors is an integer number (64031877).

Almost surely, 24216622336 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 4216622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610295144).

4216622336 is an abundant number, since it is smaller than the sum of its proper divisors (5003967952).

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

4216622336 is a wasteful number, since it uses less digits than its factorization.

4216622336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The square root of 4216622336 is about 64935.5244531066. The cubic root of 4216622336 is about 1615.5543325488.

The spelling of 4216622336 in words is "four billion, two hundred sixteen million, six hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 101 106 128 136 181 202 212 256 272 362 404 424 544 724 808 848 901 1088 1448 1616 1696 1717 1802 2176 2896 3077 3232 3392 3434 3604 4352 5353 5792 6154 6464 6784 6868 7208 9593 10706 11584 12308 12928 13568 13736 14416 18281 19186 21412 23168 24616 25856 27472 28832 36562 38372 42824 46336 49232 54944 57664 73124 76744 85648 91001 98464 109888 115328 146248 153488 163081 171296 182002 196928 219776 230656 292496 306976 310777 326162 342592 364004 393856 439552 584992 613952 621554 652324 685184 728008 787712 968893 1169984 1227904 1243108 1304648 1370368 1456016 1937786 2339968 2455808 2486216 2609296 2912032 3875572 4679936 4972432 5218592 5824064 7751144 9944864 10437184 11648128 15502288 16471181 19889728 20874368 23296256 31004576 32942362 39779456 41748736 62009152 65884724 79558912 124018304 131769448 248036608 263538896 527077792 1054155584 2108311168 4216622336