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21403546640 = 245767975881
BaseRepresentation
bin10011111011110000…
…000011010000010000
32001020122112211021122
4103323300003100100
5322313301443030
613455504141412
71355254100420
oct237360032020
961218484248
1021403546640
119093820423
124194007868
1320313c87c8
14107087c480
158540b18e5
hex4fbc03410

21403546640 has 160 divisors (see below), whose sum is σ = 58326100224. Its totient is φ = 7153090560.

The previous prime is 21403546589. The next prime is 21403546649. The reversal of 21403546640 is 4664530412.

It is a super-2 number, since 2×214035466402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21403546640.

It is not an unprimeable number, because it can be changed into a prime (21403546649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3636500 + ... + 3642380.

Almost surely, 221403546640 is an apocalyptic number.

21403546640 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 21403546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29163050112).

21403546640 is an abundant number, since it is smaller than the sum of its proper divisors (36922553584).

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

21403546640 is a wasteful number, since it uses less digits than its factorization.

21403546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 21403546640 in words is "twenty-one billion, four hundred three million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 97 112 134 140 194 268 280 335 388 469 485 536 560 670 679 776 938 970 1072 1340 1358 1552 1876 1940 2345 2680 2716 3395 3752 3880 4690 5360 5432 5881 6499 6790 7504 7760 9380 10864 11762 12998 13580 18760 23524 25996 27160 29405 32495 37520 41167 45493 47048 51992 54320 58810 64990 82334 90986 94096 103984 117620 129980 164668 181972 205835 227465 235240 259960 329336 363944 394027 411670 454930 470480 519920 570457 658672 727888 788054 823340 909860 1140914 1576108 1646680 1819720 1970135 2281828 2758189 2852285 3152216 3293360 3639440 3940270 3993199 4563656 5516378 5704570 6304432 7880540 7986398 9127312 11032756 11409140 13790945 15761080 15972796 19965995 22065512 22818280 27581890 31522160 31945592 38220619 39931990 44131024 45636560 55163780 63891184 76441238 79863980 110327560 152882476 159727960 191103095 220655120 267544333 305764952 319455920 382206190 535088666 611529904 764412380 1070177332 1337721665 1528824760 2140354664 2675443330 3057649520 4280709328 5350886660 10701773320 21403546640