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21353415040 = 275311076281
BaseRepresentation
bin10011111000110000…
…110100000110000000
32001010011012212122201
4103320300310012000
5322212433240130
613450513442544
71354105014226
oct237060640600
961104185581
1021353415040
11906849a851
12417b270454
132023bc5539
141067d4cb16
1584e9acbca
hex4f8c34180

21353415040 has 64 divisors (see below), whose sum is σ = 52694766720. Its totient is φ = 8265830400.

The previous prime is 21353415023. The next prime is 21353415067. The reversal of 21353415040 is 4051435312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 518301 + ... + 557980.

It is an arithmetic number, because the mean of its divisors is an integer number (823355730).

Almost surely, 221353415040 is an apocalyptic number.

21353415040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21353415040 is an abundant number, since it is smaller than the sum of its proper divisors (31341351680).

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

21353415040 is a wasteful number, since it uses less digits than its factorization.

21353415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076331 (or 1076319 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 21353415040 in words is "twenty-one billion, three hundred fifty-three million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 1076281 2152562 4305124 5381405 8610248 10762810 17220496 21525620 33364711 34440992 43051240 66729422 68881984 86102480 133458844 137763968 166823555 172204960 266917688 333647110 344409920 533835376 667294220 688819840 1067670752 1334588440 2135341504 2669176880 4270683008 5338353760 10676707520 21353415040