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21355466424160 = 2551120101603641
BaseRepresentation
bin1001101101100001101001…
…11111010111111101100000
32210121120012011200020201211
410312300310333113331200
510244341443401033120
6113230322115435504
74332611236356601
oct466606477277540
983546164606654
1021355466424160
1168938910736a0
12248a9ba5b5b94
13bbba728070ab
1453b87812dda8
152707884dc25a
hex136c34fd7f60

21355466424160 has 96 divisors (see below), whose sum is σ = 55041690491424. Its totient is φ = 7765224960000.

The previous prime is 21355466424157. The next prime is 21355466424179. The reversal of 21355466424160 is 6142466455312.

It is a super-3 number, since 3×213554664241603 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35075940 + ... + 35679580.

It is an arithmetic number, because the mean of its divisors is an integer number (573350942619).

Almost surely, 221355466424160 is an apocalyptic number.

21355466424160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21355466424160 is an abundant number, since it is smaller than the sum of its proper divisors (33686224067264).

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

21355466424160 is a wasteful number, since it uses less digits than its factorization.

21355466424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623768 (or 623760 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 21355466424160 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred sixty-six million, four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 20101 40202 80404 100505 160808 201010 221111 321616 402020 442222 603641 643232 804040 884444 1105555 1207282 1608080 1768888 2211110 2414564 3018205 3216160 3537776 4422220 4829128 6036410 6640051 7075552 8844440 9658256 12072820 13280102 17688880 19316512 24145640 26560204 33200255 35377760 48291280 53120408 66400510 96582560 106240816 132801020 212481632 265602040 531204080 1062408160 12133787741 24267575482 48535150964 60668938705 97070301928 121337877410 133471665151 194140603856 242675754820 266943330302 388281207712 485351509640 533886660604 667358325755 970703019280 1067773321208 1334716651510 1941406038560 2135546642416 2669433303020 4271093284832 5338866606040 10677733212080 21355466424160