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136903640280 = 233511344930071
BaseRepresentation
bin111111110000000010…
…1111100010011011000
3111002101001100111201120
41333200011330103120
54220334312442110
6142520452045240
712614412512331
oct1774005742330
9432331314646
10136903640280
1153073599270
1222648903820
13cbaa23cb94
1468aa301288
153863e96870
hex1fe017c4d8

136903640280 has 128 divisors (see below), whose sum is σ = 448193088000. Its totient is φ = 33178035200.

The previous prime is 136903640233. The next prime is 136903640303. The reversal of 136903640280 is 82046309631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4537645 + ... + 4567715.

It is an arithmetic number, because the mean of its divisors is an integer number (3501508500).

Almost surely, 2136903640280 is an apocalyptic number.

136903640280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136903640280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224096544000).

136903640280 is an abundant number, since it is smaller than the sum of its proper divisors (311289447720).

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

136903640280 is a wasteful number, since it uses less digits than its factorization.

136903640280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33545 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 136903640280 in words is "one hundred thirty-six billion, nine hundred three million, six hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3449 6898 10347 13796 17245 20694 27592 30071 34490 37939 41388 51735 60142 68980 75878 82776 90213 103470 113817 120284 137960 150355 151756 180426 189695 206940 227634 240568 300710 303512 330781 360852 379390 413880 451065 455268 569085 601420 661562 721704 758780 902130 910536 992343 1138170 1202840 1323124 1517560 1653905 1804260 1984686 2276340 2646248 3307810 3608520 3969372 4552680 4961715 6615620 7938744 9923430 13231240 19846860 39693720 103714879 207429758 311144637 414859516 518574395 622289274 829719032 1037148790 1140863669 1244578548 1555723185 2074297580 2281727338 2489157096 3111446370 3422591007 4148595160 4563454676 5704318345 6222892740 6845182014 9126909352 11408636690 12445785480 13690364028 17112955035 22817273380 27380728056 34225910070 45634546760 68451820140 136903640280