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21269147400 = 2333523938731
BaseRepresentation
bin10011110011101111…
…010110111100001000
32000220021122122012000
4103303233112330020
5322024400204100
613434303351000
71352032525044
oct236357267410
960807578160
1021269147400
119024974276
124156bb2460
13200c5cc827
14105aa95024
158473b4900
hex4f3bd6f08

21269147400 has 96 divisors (see below), whose sum is σ = 73260415200. Its totient is φ = 5671771200.

The previous prime is 21269147381. The next prime is 21269147401. The reversal of 21269147400 is 474196212.

It is a happy number.

21269147400 is a `hidden beast` number, since 2 + 126 + 91 + 47 + 400 = 666.

It is a super-3 number, since 3×212691474003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21269147401) 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, 1963966 + ... + 1974765.

It is an arithmetic number, because the mean of its divisors is an integer number (763129325).

Almost surely, 221269147400 is an apocalyptic number.

21269147400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21269147400 is an abundant number, since it is smaller than the sum of its proper divisors (51991267800).

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

21269147400 is a wasteful number, since it uses less digits than its factorization.

21269147400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938756 (or 3938741 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21269147400 in words is "twenty-one billion, two hundred sixty-nine million, one hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 3938731 7877462 11816193 15754924 19693655 23632386 31509848 35448579 39387310 47264772 59080965 70897158 78774620 94529544 98468275 106345737 118161930 141794316 157549240 177242895 196936550 212691474 236323860 283588632 295404825 354485790 393873100 425382948 472647720 531728685 590809650 708971580 787746200 850765896 886214475 1063457370 1181619300 1417943160 1772428950 2126914740 2363238600 2658643425 3544857900 4253829480 5317286850 7089715800 10634573700 21269147400