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21389721760 = 2551127431487
BaseRepresentation
bin10011111010111011…
…010100000010100000
32001012200112110010001
4103322323110002200
5322301232044020
613454251545344
71355025430561
oct237273240240
961180473101
1021389721760
119086a38600
12418b45b254
13202b597cc4
14106cac0168
15852c8050a
hex4faed40a0

21389721760 has 144 divisors (see below), whose sum is σ = 55656937728. Its totient is φ = 7762388480.

The previous prime is 21389721739. The next prime is 21389721767. The reversal of 21389721760 is 6712798312.

It is a self number, because there is not a number n which added to its sum of digits gives 21389721760.

It is not an unprimeable number, because it can be changed into a prime (21389721767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14383737 + ... + 14385223.

It is an arithmetic number, because the mean of its divisors is an integer number (386506512).

Almost surely, 221389721760 is an apocalyptic number.

21389721760 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 21389721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27828468864).

21389721760 is an abundant number, since it is smaller than the sum of its proper divisors (34267215968).

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

21389721760 is a wasteful number, since it uses less digits than its factorization.

21389721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 21389721760 in words is "twenty-one billion, three hundred eighty-nine million, seven hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 743 880 968 1210 1486 1487 1760 1936 2420 2972 2974 3715 3872 4840 5944 5948 7430 7435 8173 9680 11888 11896 14860 14870 16346 16357 19360 23776 23792 29720 29740 32692 32714 40865 47584 59440 59480 65384 65428 81730 81785 89903 118880 118960 130768 130856 163460 163570 179806 179927 237920 261536 261712 326920 327140 359612 359854 449515 523424 653840 654280 719224 719708 899030 899635 1104841 1307680 1308560 1438448 1439416 1798060 1799270 2209682 2617120 2876896 2878832 3596120 3598540 4419364 5524205 5757664 7192240 7197080 8838728 11048410 12153251 14384480 14394160 17677456 22096820 24306502 28788320 35354912 44193640 48613004 60766255 88387280 97226008 121532510 133685761 176774560 194452016 243065020 267371522 388904032 486130040 534743044 668428805 972260080 1069486088 1336857610 1944520160 2138972176 2673715220 4277944352 5347430440 10694860880 21389721760