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21655610416 = 2411374018293
BaseRepresentation
bin10100001010110001…
…100110010000110000
32001220012211222210001
4110022301212100300
5323322314013131
613540510515344
71364434436266
oct241261462060
961805758701
1021655610416
1192030336a0
124244505b54
1320716b167b
141096134436
1586b2a2261
hex50ac66430

21655610416 has 80 divisors (see below), whose sum is σ = 47132081568. Its totient is φ = 9552384000.

The previous prime is 21655610407. The next prime is 21655610441. The reversal of 21655610416 is 61401655612.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2607166 + ... + 2615458.

Almost surely, 221655610416 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 21655610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566040784).

21655610416 is an abundant number, since it is smaller than the sum of its proper divisors (25476471152).

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

21655610416 is a wasteful number, since it uses less digits than its factorization.

21655610416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 21655610416 in words is "twenty-one billion, six hundred fifty-five million, six hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 401 407 592 802 814 1604 1628 3208 3256 4411 6416 6512 8293 8822 14837 16586 17644 29674 33172 35288 59348 66344 70576 91223 118696 132688 163207 182446 237392 306841 326414 364892 613682 652828 729784 1227364 1305656 1459568 2454728 2611312 3325493 3375251 4909456 6650986 6750502 13301972 13501004 26603944 27002008 36580423 53207888 54004016 73160846 123043241 146321692 246086482 292643384 492172964 585286768 984345928 1353475651 1968691856 2706951302 5413902604 10827805208 21655610416