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21106957480 = 23572922911351
BaseRepresentation
bin10011101010000100…
…101001110010101000
32000110222110112102221
4103222010221302220
5321211340114410
613410231203424
71345023115120
oct235204516250
960428415387
1021106957480
118a51366614
124110816574
131cb4b2336b
141043315c80
158380284da
hex4ea129ca8

21106957480 has 128 divisors (see below), whose sum is σ = 56396736000. Its totient is φ = 6956006400.

The previous prime is 21106957397. The next prime is 21106957523. The reversal of 21106957480 is 8475960112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853805 + ... + 1865155.

It is an arithmetic number, because the mean of its divisors is an integer number (440599500).

Almost surely, 221106957480 is an apocalyptic number.

21106957480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21106957480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28198368000).

21106957480 is an abundant number, since it is smaller than the sum of its proper divisors (35289778520).

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

21106957480 is a wasteful number, since it uses less digits than its factorization.

21106957480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11627 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 21106957480 in words is "twenty-one billion, one hundred six million, nine hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 229 232 280 290 406 458 580 812 916 1015 1145 1160 1603 1624 1832 2030 2290 3206 4060 4580 6412 6641 8015 8120 9160 11351 12824 13282 16030 22702 26564 32060 33205 45404 46487 53128 56755 64120 66410 79457 90808 92974 113510 132820 158914 185948 227020 232435 265640 317828 329179 371896 397285 454040 464870 635656 658358 794570 929740 1316716 1589140 1645895 1859480 2304253 2599379 2633432 3178280 3291790 4608506 5198758 6583580 9217012 10397516 11521265 12996895 13167160 18195653 18434024 20795032 23042530 25993790 36391306 46085060 51987580 72782612 75381991 90978265 92170120 103975160 145565224 150763982 181956530 301527964 363913060 376909955 527673937 603055928 727826120 753819910 1055347874 1507639820 2110695748 2638369685 3015279640 4221391496 5276739370 10553478740 21106957480