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1368418688 = 27721321291
BaseRepresentation
bin101000110010000…
…0110100110000000
310112100220212112122
41101210012212000
510300303344223
6343441543412
745624236600
oct12144064600
93470825478
101368418688
1164248923a
12322344b68
1318a671b00
14cda50c00
15802075c8
hex51906980

1368418688 has 144 divisors (see below), whose sum is σ = 3436597260. Its totient is φ = 540933120.

The previous prime is 1368418669. The next prime is 1368418697. The reversal of 1368418688 is 8868148631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059323 + ... + 1060613.

Almost surely, 21368418688 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 1368418688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718298630).

1368418688 is an abundant number, since it is smaller than the sum of its proper divisors (2068178572).

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

1368418688 is a wasteful number, since it uses less digits than its factorization.

1368418688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1313 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 53.

The square root of 1368418688 is about 36992.1435983372. The cubic root of 1368418688 is about 1110.2130608515.

The spelling of 1368418688 in words is "one billion, three hundred sixty-eight million, four hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 338 364 392 416 448 637 676 728 784 832 896 1183 1274 1291 1352 1456 1568 1664 2366 2548 2582 2704 2912 3136 4732 5096 5164 5408 5824 6272 8281 9037 9464 10192 10328 10816 11648 16562 16783 18074 18928 20384 20656 21632 33124 33566 36148 37856 40768 41312 63259 66248 67132 72296 75712 81536 82624 117481 126518 132496 134264 144592 151424 165248 218179 234962 253036 264992 268528 289184 436358 469924 506072 529984 537056 578368 822367 872716 939848 1012144 1059968 1074112 1156736 1527253 1644734 1745432 1879696 2024288 2148224 3054506 3289468 3490864 3759392 4048576 6109012 6578936 6981728 7518784 8097152 10690771 12218024 13157872 13963456 15037568 21381542 24436048 26315744 27926912 42763084 48872096 52631488 85526168 97744192 105262976 171052336 195488384 342104672 684209344 1368418688