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51645734140 = 225711132198439
BaseRepresentation
bin110000000110010100…
…110101110011111100
311221022021120010110011
4300012110311303330
51321232301443030
635420431153004
73505554332320
oct600624656374
9157267503404
1051645734140
111a9a2741510
12a014075764
134b409c9300
1426dd12b980
1515240c9b2a
hexc06535cfc

51645734140 has 144 divisors (see below), whose sum is σ = 146420144640. Its totient is φ = 14859037440.

The previous prime is 51645734099. The next prime is 51645734143. The reversal of 51645734140 is 4143754615.

51645734140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51645734093 and 51645734102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51645734143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161041 + ... + 359479.

It is an arithmetic number, because the mean of its divisors is an integer number (1016806560).

Almost surely, 251645734140 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 51645734140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73210072320).

51645734140 is an abundant number, since it is smaller than the sum of its proper divisors (94774410500).

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

51645734140 is a wasteful number, since it uses less digits than its factorization.

51645734140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198492 (or 198477 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 51645734140 in words is "fifty-one billion, six hundred forty-five million, seven hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5915 7436 9295 10010 11830 13013 18590 20020 23660 26026 37180 52052 65065 130130 198439 260260 396878 793756 992195 1389073 1984390 2182829 2579707 2778146 3968780 4365658 5159414 5556292 6945365 8731316 10318828 10914145 12898535 13890730 15279803 18057949 21828290 25797070 27781460 28376777 30559606 33536191 36115898 43656580 51594140 56753554 61119212 67072382 72231796 76399015 90289745 113507108 134144764 141883885 152798030 167680955 180579490 198637439 234753337 283767770 305596060 335361910 361158980 368898101 397274878 469506674 567535540 670723820 737796202 794549756 939013348 993187195 1173766685 1475592404 1844490505 1986374390 2347533370 2582286707 3688981010 3972748780 4695066740 5164573414 7377962020 10329146828 12911433535 25822867070 51645734140