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20013607456080 = 2435713618753021
BaseRepresentation
bin1001000110011110001111…
…11101101000110101010000
32121212021121201021220012120
410203033013331220311100
510110400332002043310
6110322042505054240
74133635564341330
oct443170775506520
977767551256176
1020013607456080
1164167a5723207
1222b2930787380
13b22376491cb4
144d29415510c0
1524a8ee7c9b70
hex1233c7f68d50

20013607456080 has 160 divisors (see below), whose sum is σ = 70957458217728. Its totient is φ = 4571177164800.

The previous prime is 20013607456043. The next prime is 20013607456187. The reversal of 20013607456080 is 8065470631002.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2090031 + ... + 6662990.

Almost surely, 220013607456080 is an apocalyptic number.

20013607456080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013607456080 is an abundant number, since it is smaller than the sum of its proper divisors (50943850761648).

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

20013607456080 is a wasteful number, since it uses less digits than its factorization.

20013607456080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754405 (or 8754399 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20013607456080 in words is "twenty trillion, thirteen billion, six hundred seven million, four hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1361 1680 2722 4083 5444 6805 8166 9527 10888 13610 16332 19054 20415 21776 27220 28581 32664 38108 40830 47635 54440 57162 65328 76216 81660 95270 108880 114324 142905 152432 163320 190540 228648 285810 326640 381080 457296 571620 762160 1143240 2286480 8753021 17506042 26259063 35012084 43765105 52518126 61271147 70024168 87530210 105036252 122542294 131295315 140048336 175060420 183813441 210072504 245084588 262590630 306355735 350120840 367626882 420145008 490169176 525181260 612711470 700241680 735253764 919067205 980338352 1050362520 1225422940 1470507528 1838134410 2100725040 2450845880 2941015056 3676268820 4901691760 7352537640 11912861581 14705075280 23825723162 35738584743 47651446324 59564307905 71477169486 83390031067 95302892648 119128615810 142954338972 166780062134 178692923715 190605785296 238257231620 250170093201 285908677944 333560124268 357385847430 416950155335 476514463240 500340186402 571817355888 667120248536 714771694860 833900310670 953028926480 1000680372804 1250850466005 1334240497072 1429543389720 1667800621340 2001360745608 2501700932010 2859086779440 3335601242680 4002721491216 5003401864020 6671202485360 10006803728040 20013607456080