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1136086782831 = 347111321077827
BaseRepresentation
bin10000100010000100000…
…011001001001101101111
311000121102211201021110000
4100202010003021031233
5122103201204022311
62225524442315343
7145036201214640
oct20420403111557
94017384637400
101136086782831
113a88a240a060
121642211b8b53
1383195202900
143cdb60716c7
151e843b56056
hex108840c936f

1136086782831 has 120 divisors (see below), whose sum is σ = 2291169158784. Its totient is φ = 544776373440.

The previous prime is 1136086782821. The next prime is 1136086782863. The reversal of 1136086782831 is 1382876806311.

It is a happy number.

1136086782831 is a `hidden beast` number, since 1 + 1 + 3 + 608 + 6 + 7 + 8 + 28 + 3 + 1 = 666.

It is not a de Polignac number, because 1136086782831 - 210 = 1136086781807 is a prime.

It is a super-2 number, since 2×11360867828312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136086782821) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 515140 + ... + 1592966.

Almost surely, 21136086782831 is an apocalyptic number.

1136086782831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1136086782831 is an abundant number, since it is smaller than the sum of its proper divisors (1155082375953).

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

1136086782831 is a wasteful number, since it uses less digits than its factorization.

1136086782831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077883 (or 1077861 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1136086782831 in words is "one trillion, one hundred thirty-six billion, eighty-six million, seven hundred eighty-two thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 169 189 231 273 297 351 429 507 567 693 819 891 1001 1053 1183 1287 1521 1859 2079 2457 3003 3549 3861 4563 5577 6237 7371 9009 10647 11583 13013 13689 16731 27027 31941 39039 50193 81081 95823 117117 150579 351351 1054053 1077827 3233481 7544789 9700443 11856097 14011751 22634367 29101329 35568291 42035253 67903101 82992679 87303987 98082257 106704873 126105759 154129261 182152763 203709303 248978037 294246771 320114619 378317277 462387783 546458289 611127909 746934111 882740313 960343857 1078904827 1134951831 1275069341 1387163349 1639374867 2003680393 2240802333 2648220939 3236714481 3825208023 4161490047 4918124601 6011041179 6722406999 7944662817 9710143443 11475624069 12484470141 14025762751 14754373803 18033123537 29130430329 34426872207 42077288253 54099370611 87391290987 103280616621 126231864759 162298111833 378695594277 1136086782831