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264084794471680 = 2857132267211491
BaseRepresentation
bin111100000010111100001000…
…010111010111010100000000
31021122001021000101110202011221
4330002330020113113110000
5234103231124341043210
62333354514005444424
7106424332251504460
oct7402741027272400
91248037011422157
10264084794471680
1177166806891696
122575149b410714
13b448121157aa0
14492dab50b5ba0
15207e6b8e751da
hexf02f085d7500

264084794471680 has 144 divisors (see below), whose sum is σ = 778542288660864. Its totient is φ = 83578484367360.

The previous prime is 264084794471647. The next prime is 264084794471711. The reversal of 264084794471680 is 86174497480462.

It is a super-2 number, since 2×2640847944716802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

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, 1133489266 + ... + 1133722225.

It is an arithmetic number, because the mean of its divisors is an integer number (5406543671256).

Almost surely, 2264084794471680 is an apocalyptic number.

264084794471680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264084794471680 is an abundant number, since it is smaller than the sum of its proper divisors (514457494189184).

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

264084794471680 is a wasteful number, since it uses less digits than its factorization.

264084794471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267211532 (or 2267211518 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 70.

The spelling of 264084794471680 in words is "two hundred sixty-four trillion, eighty-four billion, seven hundred ninety-four million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2912 3328 3640 4160 4480 5824 7280 8320 8960 11648 14560 16640 23296 29120 58240 116480 2267211491 4534422982 9068845964 11336057455 15870480437 18137691928 22672114910 29473749383 31740960874 36275383856 45344229820 58947498766 63481921748 72550767712 79352402185 90688459640 117894997532 126963843496 145101535424 147368746915 158704804370 181376919280 206316245681 235789995064 253927686992 290203070848 294737493830 317409608740 362753838560 412632491362 471579990128 507855373984 580406141696 589474987660 634819217480 725507677120 825264982724 943159980256 1015710747968 1031581228405 1178949975320 1269638434960 1451015354240 1650529965448 1886319960512 2031421495936 2063162456810 2357899950640 2539276869920 2902030708480 3301059930896 3772639921024 4062842991872 4126324913620 4715799901280 5078553739840 6602119861792 7545279842048 8252649827240 9431599802560 10157107479680 13204239723584 16505299654480 18863199605120 20314214959360 26408479447168 33010599308960 37726399210240 52816958894336 66021198617920 132042397235840 264084794471680