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11051300036136 = 23359104910517079
BaseRepresentation
bin1010000011010001010011…
…0100000001111000101000
31110010111100002201112020210
42200310110310001320220
52422031030302124021
635300521441221120
72220300342250023
oct240642464017050
943114302645223
1011051300036136
113580914844398
1212a59960317a0
13622196612319
142a2c587d61ba
1514270a249e76
hexa0d14d01e28

11051300036136 has 128 divisors (see below), whose sum is σ = 28154044800000. Its totient is φ = 3613924876800.

The previous prime is 11051300036131. The next prime is 11051300036149. The reversal of 11051300036136 is 63163000315011.

It is not an unprimeable number, because it can be changed into a prime (11051300036131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561135045 + ... + 1561142123.

It is an arithmetic number, because the mean of its divisors is an integer number (219953475000).

Almost surely, 211051300036136 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 11051300036136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14077022400000).

11051300036136 is an abundant number, since it is smaller than the sum of its proper divisors (17102744763864).

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

11051300036136 is a wasteful number, since it uses less digits than its factorization.

11051300036136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 11051300036136 in words is "eleven trillion, fifty-one billion, three hundred million, thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1049 1051 1416 2098 2102 3147 3153 4196 4204 6294 6306 7079 8392 8408 12588 12612 14158 21237 25176 25224 28316 42474 56632 61891 62009 84948 123782 124018 169896 185673 186027 247564 248036 371346 372054 417661 495128 496072 742692 744108 835322 1102499 1252983 1485384 1488216 1670644 2204998 2505966 3307497 3341288 4409996 5011932 6614994 7425871 7440029 8819992 10023864 13229988 14851742 14880058 22277613 22320087 26459976 29703484 29760116 44555226 44640174 59406968 59520232 65047441 89110452 89280348 130094882 178220904 178560696 195142323 260189764 390284646 438126389 438961711 520379528 780569292 876252778 877923422 1314379167 1316885133 1561138584 1752505556 1755846844 2628758334 2633770266 3505011112 3511693688 5257516668 5267540532 7804590421 10515033336 10535081064 15609180842 23413771263 31218361684 46827542526 62436723368 93655085052 187310170104 460470834839 920941669678 1381412504517 1841883339356 2762825009034 3683766678712 5525650018068 11051300036136