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642255031220 = 22511219103135613
BaseRepresentation
bin10010101100010010110…
…00100000101110110100
32021101202212011001021112
421112021120200232310
541010314241444340
61211014202134152
764254451455605
oct11261130405664
92241685131245
10642255031220
11228419248a00
12a4581ab1358
1348744c6b86a
142312a135dac
1511a8e7e2065
hex9589620bb4

642255031220 has 144 divisors (see below), whose sum is σ = 1575682792320. Its totient is φ = 219105596160.

The previous prime is 642255031213. The next prime is 642255031241. The reversal of 642255031220 is 22130552246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4668134 + ... + 4803746.

Almost surely, 2642255031220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642255031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787841396160).

642255031220 is an abundant number, since it is smaller than the sum of its proper divisors (933427761100).

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

642255031220 is a wasteful number, since it uses less digits than its factorization.

642255031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135766 (or 135753 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 642255031220 its reverse (22130552246), we get a palindrome (664385583466).

The spelling of 642255031220 in words is "six hundred forty-two billion, two hundred fifty-five million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 103 110 121 190 206 209 220 242 380 412 418 484 515 605 836 1030 1045 1133 1210 1957 2060 2090 2266 2299 2420 3914 4180 4532 4598 5665 7828 9196 9785 11330 11495 12463 19570 21527 22660 22990 24926 39140 43054 45980 49852 62315 86108 107635 124630 135613 215270 236797 249260 271226 430540 473594 542452 678065 947188 1183985 1356130 1491743 2367970 2576647 2712260 2983486 4735940 5153294 5966972 7458715 10306588 12883235 13968139 14917430 16409173 25766470 27936278 28343117 29834860 32818346 51532940 55872556 56686234 65636692 69840695 82045865 113372468 139681390 141715585 153649529 164091730 265394641 279362780 283431170 307299058 311774287 328183460 530789282 566862340 614598116 623548574 768247645 1061578564 1247097148 1326973205 1536495290 1558871435 1690144819 2653946410 2919341051 3072990580 3117742870 3380289638 5307892820 5838682102 6235485740 6760579276 8450724095 11677364204 14596705255 16901448190 29193410510 32112751561 33802896380 58386821020 64225503122 128451006244 160563757805 321127515610 642255031220