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51426293040 = 2433546515119
BaseRepresentation
bin101111111001001111…
…101111010100110000
311220201222122100212000
4233321033233110300
51320310112334130
635342551534000
73500251164333
oct577117572460
9156658570760
1051426293040
111a89a890131
129b7268a300
134b073c60c5
1426bbd2861a
15150ebd0260
hexbf93ef530

51426293040 has 160 divisors (see below), whose sum is σ = 177207705600. Its totient is φ = 13708051200.

The previous prime is 51426293011. The next prime is 51426293053. The reversal of 51426293040 is 4039262415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51426292986 and 51426293004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10043601 + ... + 10048719.

It is an arithmetic number, because the mean of its divisors is an integer number (1107548160).

Almost surely, 251426293040 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 51426293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88603852800).

51426293040 is an abundant number, since it is smaller than the sum of its proper divisors (125781412560).

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

51426293040 is a wasteful number, since it uses less digits than its factorization.

51426293040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 51426293040 in words is "fifty-one billion, four hundred twenty-six million, two hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4651 5119 9302 10238 13953 15357 18604 20476 23255 25595 27906 30714 37208 40952 41859 46071 46510 51190 55812 61428 69765 74416 76785 81904 83718 92142 93020 102380 111624 122856 125577 138213 139530 153570 167436 184284 186040 204760 209295 223248 230355 245712 251154 276426 279060 307140 334872 368568 372080 409520 418590 460710 502308 552852 558120 614280 627885 669744 691065 737136 837180 921420 1004616 1105704 1116240 1228560 1255770 1382130 1674360 1842840 2009232 2211408 2511540 2764260 3348720 3685680 5023080 5528520 10046160 11057040 23808469 47616938 71425407 95233876 119042345 142850814 190467752 214276221 238084690 285701628 357127035 380935504 428552442 476169380 571403256 642828663 714254070 857104884 952338760 1071381105 1142806512 1285657326 1428508140 1714209768 1904677520 2142762210 2571314652 2857016280 3214143315 3428419536 4285524420 5142629304 5714032560 6428286630 8571048840 10285258608 12856573260 17142097680 25713146520 51426293040