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2071797952 = 26731241619
BaseRepresentation
bin111101101111101…
…0010000011000000
312100101110020111111
41323133102003000
513220340013302
6541325453104
7102224664160
oct17337220300
95311406444
102071797952
11973526514
12499a11194
132702c5363
141592285a0
15c1d460d7
hex7b7d20c0

2071797952 has 112 divisors (see below), whose sum is σ = 4878100480. Its totient is φ = 854323200.

The previous prime is 2071797947. The next prime is 2071797967. The reversal of 2071797952 is 2597971702.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20717979522 = 8584693507822788608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2071797896 and 2071797905.

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, 3346699 + ... + 3347317.

Almost surely, 22071797952 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 2071797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439050240).

2071797952 is an abundant number, since it is smaller than the sum of its proper divisors (2806302528).

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

2071797952 is a wasteful number, since it uses less digits than its factorization.

2071797952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 49.

The square root of 2071797952 is about 45517.0072829926. The cubic root of 2071797952 is about 1274.8207774741.

The spelling of 2071797952 in words is "two billion, seventy-one million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 241 248 434 448 482 496 619 868 964 992 1238 1687 1736 1928 1984 2476 3374 3472 3856 4333 4952 6748 6944 7471 7712 8666 9904 13496 13888 14942 15424 17332 19189 19808 26992 29884 34664 38378 39616 52297 53984 59768 69328 76756 104594 107968 119536 134323 138656 149179 153512 209188 239072 268646 277312 298358 307024 418376 478144 537292 596716 614048 836752 1044253 1074584 1193432 1228096 1673504 2088506 2149168 2386864 3347008 4177012 4298336 4624549 4773728 8354024 8596672 9249098 9547456 16708048 18498196 32371843 33416096 36996392 64743686 66832192 73992784 129487372 147985568 258974744 295971136 517949488 1035898976 2071797952