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21477506006352 = 24311175345146609
BaseRepresentation
bin1001110001000100111110…
…00111011011110101010000
32211001020012022200101000110
410320202133013123311100
510303341413014200402
6113402344031321320
74344461422612014
oct470423707336520
984036168611013
1021477506006352
116930617250030
1224aa599380240
13bca421417116
145437342b6544
15273a2c57356c
hex13889f1dbd50

21477506006352 has 160 divisors (see below), whose sum is σ = 65297167320960. Its totient is φ = 6009916456960.

The previous prime is 21477506006317. The next prime is 21477506006371. The reversal of 21477506006352 is 25360060577412.

It is a super-2 number, since 2×214775060063522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22097577 + ... + 23049032.

It is an arithmetic number, because the mean of its divisors is an integer number (408107295756).

Almost surely, 221477506006352 is an apocalyptic number.

21477506006352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21477506006352 is an abundant number, since it is smaller than the sum of its proper divisors (43819661314608).

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

21477506006352 is a wasteful number, since it uses less digits than its factorization.

21477506006352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45146701 (or 45146695 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 21477506006352 in words is "twenty-one trillion, four hundred seventy-seven billion, five hundred six million, six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 53 66 68 88 102 106 132 136 159 176 187 204 212 264 272 318 374 408 424 528 561 583 636 748 816 848 901 1122 1166 1272 1496 1749 1802 2244 2332 2544 2703 2992 3498 3604 4488 4664 5406 6996 7208 8976 9328 9911 10812 13992 14416 19822 21624 27984 29733 39644 43248 59466 79288 118932 158576 237864 475728 45146609 90293218 135439827 180586436 270879654 361172872 496612699 541759308 722345744 767492353 993225398 1083518616 1489838097 1534984706 1986450796 2167037232 2302477059 2392770277 2979676194 3069969412 3972901592 4604954118 4785540554 5959352388 6139938824 7178310831 7945803184 8442415883 9209908236 9571081108 11918704776 12279877648 14356621662 16884831766 18419816472 19142162216 23837409552 25327247649 26320473047 28713243324 33769663532 36839632944 38284324432 40677094709 50654495298 52640946094 57426486648 67539327064 78961419141 81354189418 101308990596 105281892188 114852973296 122031284127 135078654128 157922838282 162708378836 202617981192 210563784376 244062568254 315845676564 325416757672 405235962384 421127568752 447448041799 488125136508 631691353128 650833515344 894896083598 976250273016 1263382706256 1342344125397 1789792167196 1952500546032 2684688250794 3579584334392 5369376501588 7159168668784 10738753003176 21477506006352