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22661376870 = 235111372511997
BaseRepresentation
bin10101000110101110…
…010010101101100110
32011111022101012222110
4111012232102231212
5332402303024440
614224355541450
71431366345066
oct250656225546
964438335873
1022661376870
119679835940
1244852ba886
1321a1b8a452
14114d9433a6
158c9722080
hex546b92b66

22661376870 has 128 divisors (see below), whose sum is σ = 60032835072. Its totient is φ = 5429120000.

The previous prime is 22661376833. The next prime is 22661376877. The reversal of 22661376870 is 7867316622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22661376877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11346712 + ... + 11348708.

It is an arithmetic number, because the mean of its divisors is an integer number (469006524).

Almost surely, 222661376870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22661376870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30016417536).

22661376870 is an abundant number, since it is smaller than the sum of its proper divisors (37371458202).

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

22661376870 is a wasteful number, since it uses less digits than its factorization.

22661376870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 22661376870 in words is "twenty-two billion, six hundred sixty-one million, three hundred seventy-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 137 165 251 274 330 411 502 685 753 822 1255 1370 1506 1507 1997 2055 2510 2761 3014 3765 3994 4110 4521 5522 5991 7530 7535 8283 9042 9985 11982 13805 15070 16566 19970 21967 22605 27610 29955 34387 41415 43934 45210 59910 65901 68774 82830 103161 109835 131802 171935 206322 219670 273589 329505 343870 378257 501247 515805 547178 659010 756514 820767 1002494 1031610 1134771 1367945 1503741 1641534 1891285 2269542 2506235 2735890 3007482 3009479 3782570 4103835 5012470 5513717 5673855 6018958 7518705 8207670 9028437 11027434 11347710 15037410 15047395 16541151 18056874 27568585 30094790 33082302 45142185 55137170 68670839 82705755 90284370 137341678 165411510 206012517 343354195 412025034 686708390 755379229 1030062585 1510758458 2060125170 2266137687 3776896145 4532275374 7553792290 11330688435 22661376870