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53336155040 = 2557229234589
BaseRepresentation
bin110001101011000101…
…010010001110100000
312002200002101101222122
4301223011102032200
51333213023430130
640300254523412
73565501560200
oct615305221640
9162602341878
1053336155040
112068a961783
12a406206568
13504cca076c
14281d83c400
1515c26da2e5
hexc6b1523a0

53336155040 has 144 divisors (see below), whose sum is σ = 151634284200. Its totient is φ = 17656031232.

The previous prime is 53336155039. The next prime is 53336155051. The reversal of 53336155040 is 4055163335.

It can be written as a sum of positive squares in 4 ways, for example, as 48595557136 + 4740597904 = 220444^2 + 68852^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110066 + ... + 344654.

Almost surely, 253336155040 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 53336155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75817142100).

53336155040 is an abundant number, since it is smaller than the sum of its proper divisors (98298129160).

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

53336155040 is a wasteful number, since it uses less digits than its factorization.

53336155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234647 (or 234632 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 53336155040 in words is "fifty-three billion, three hundred thirty-six million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 80 98 112 116 140 145 160 196 203 224 232 245 280 290 392 406 464 490 560 580 784 812 928 980 1015 1120 1160 1421 1568 1624 1960 2030 2320 2842 3248 3920 4060 4640 5684 6496 7105 7840 8120 11368 14210 16240 22736 28420 32480 45472 56840 113680 227360 234589 469178 938356 1172945 1642123 1876712 2345890 3284246 3753424 4691780 6568492 6803081 7506848 8210615 9383560 11494861 13136984 13606162 16421230 18767120 22989722 26273968 27212324 32842460 34015405 37534240 45979444 47621567 52547936 54424648 57474305 65684920 68030810 91958888 95243134 108849296 114948610 131369840 136061620 183917776 190486268 217698592 229897220 238107835 262739680 272123240 333350969 367835552 380972536 459794440 476215670 544246480 666701938 761945072 919588880 952431340 1088492960 1333403876 1523890144 1666754845 1839177760 1904862680 2666807752 3333509690 3809725360 5333615504 6667019380 7619450720 10667231008 13334038760 26668077520 53336155040