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2078322688 = 21213231697
BaseRepresentation
bin111101111100000…
…1011000000000000
312100211201201202101
41323320023000000
513224022311223
6542121400144
7102334310551
oct17370130000
95324651671
102078322688
11977182662
124a0039054
1327176b150
1415a046328
15c26d44ad
hex7be0b000

2078322688 has 104 divisors (see below), whose sum is σ = 4673194848. Its totient is φ = 916979712.

The previous prime is 2078322683. The next prime is 2078322713. The reversal of 2078322688 is 8862238702.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2078322683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223856 + ... + 1225552.

Almost surely, 22078322688 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 2078322688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336597424).

2078322688 is an abundant number, since it is smaller than the sum of its proper divisors (2594872160).

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

2078322688 is a wasteful number, since it uses less digits than its factorization.

2078322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 2078322688 is about 45588.6245460422. The cubic root of 2078322688 is about 1276.1576440680.

The spelling of 2078322688 in words is "two billion, seventy-eight million, three hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 1697 2048 2392 2944 3328 3394 4096 4784 5888 6656 6788 9568 11776 13312 13576 19136 22061 23552 26624 27152 38272 39031 44122 47104 53248 54304 76544 78062 88244 94208 108608 153088 156124 176488 217216 306176 312248 352976 434432 507403 612352 624496 705952 868864 1014806 1224704 1248992 1411904 1737728 2029612 2497984 2823808 3475456 4059224 4995968 5647616 6950912 8118448 9991936 11295232 16236896 19983872 22590464 32473792 39967744 45180928 64947584 79935488 90361856 129895168 159870976 259790336 519580672 1039161344 2078322688