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13405421520 = 2432579235679
BaseRepresentation
bin11000111110000011…
…00111111111010000
31021121020122222020100
430133001213333100
5204423241442040
610054112412400
7653125126401
oct143701477720
937536588210
1013405421520
11575a013667
122721547100
131358390baa
149125419a8
15536d36b30
hex31f067fd0

13405421520 has 120 divisors (see below), whose sum is σ = 45589939200. Its totient is φ = 3529513728.

The previous prime is 13405421507. The next prime is 13405421551. The reversal of 13405421520 is 2512450431.

13405421520 is a `hidden beast` number, since 134 + 0 + 5 + 4 + 2 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×134054215202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60960 + ... + 174719.

It is an arithmetic number, because the mean of its divisors is an integer number (379916160).

Almost surely, 213405421520 is an apocalyptic number.

13405421520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405421520 is an abundant number, since it is smaller than the sum of its proper divisors (32184517680).

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

13405421520 is a wasteful number, since it uses less digits than its factorization.

13405421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235777 (or 235768 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13405421520 its reverse (2512450431), we get a palindrome (15917871951).

The spelling of 13405421520 in words is "thirteen billion, four hundred five million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 56880 235679 471358 707037 942716 1178395 1414074 1885432 2121111 2356790 2828148 3535185 3770864 4242222 4713580 5656296 7070370 8484444 9427160 10605555 11312592 14140740 16968888 18618641 18854320 21211110 28281480 33937776 37237282 42422220 55855923 56562960 74474564 84844440 93093205 111711846 148949128 167567769 169688880 186186410 223423692 279279615 297898256 335135538 372372820 446847384 558559230 670271076 744745640 837838845 893694768 1117118460 1340542152 1489491280 1675677690 2234236920 2681084304 3351355380 4468473840 6702710760 13405421520