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21500153440 = 2552352311171
BaseRepresentation
bin10100000001100000…
…100100111001100000
32001111101022221220021
4110001200210321200
5323013014402230
613513234523224
71360536201043
oct240140447140
961441287807
1021500153440
119133304557
124200436514
1320484219ac
14107d628c5a
1585c7e5c7a
hex501824e60

21500153440 has 96 divisors (see below), whose sum is σ = 53108649216. Its totient is φ = 8209681920.

The previous prime is 21500153413. The next prime is 21500153443. The reversal of 21500153440 is 4435100512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21500153443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1919055 + ... + 1930225.

It is an arithmetic number, because the mean of its divisors is an integer number (553215096).

Almost surely, 221500153440 is an apocalyptic number.

21500153440 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 21500153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554324608).

21500153440 is an abundant number, since it is smaller than the sum of its proper divisors (31608495776).

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

21500153440 is a wasteful number, since it uses less digits than its factorization.

21500153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 21500153440 its reverse (4435100512), we get a palindrome (25935253952).

The spelling of 21500153440 in words is "twenty-one billion, five hundred million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 523 736 920 1046 1840 2092 2615 3680 4184 5230 8368 10460 11171 12029 16736 20920 22342 24058 41840 44684 48116 55855 60145 83680 89368 96232 111710 120290 178736 192464 223420 240580 256933 357472 384928 446840 481160 513866 893680 962320 1027732 1284665 1787360 1924640 2055464 2569330 4110928 5138660 5842433 8221856 10277320 11684866 20554640 23369732 29212165 41109280 46739464 58424330 93478928 116848660 134375959 186957856 233697320 268751918 467394640 537503836 671879795 934789280 1075007672 1343759590 2150015344 2687519180 4300030688 5375038360 10750076720 21500153440