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11761334062740 = 22325269242902397
BaseRepresentation
bin1010101100100110011000…
…1000111000111010010100
31112122101001121000021211200
42223021212020320322110
53020144203010001430
641003025434432500
72322504552014313
oct253114610707224
945571047007750
1011761334062740
113824a54508759
12139b512b92730
136741208213c2
142c937459a27a
15155e15182460
hexab266238e94

11761334062740 has 72 divisors (see below), whose sum is σ = 35808671513160. Its totient is φ = 3124696422144.

The previous prime is 11761334062661. The next prime is 11761334062789. The reversal of 11761334062740 is 4726043316711.

11761334062740 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 13 + 3 + 4 + 0 + 627 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42146064 + 11761291916676 = 6492^2 + 3429474^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 121402779 + ... + 121499618.

It is an arithmetic number, because the mean of its divisors is an integer number (497342659905).

Almost surely, 211761334062740 is an apocalyptic number.

11761334062740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11761334062740 is an abundant number, since it is smaller than the sum of its proper divisors (24047337450420).

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

11761334062740 is a wasteful number, since it uses less digits than its factorization.

11761334062740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242902681 (or 242902676 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 11761334062740 in words is "eleven trillion, seven hundred sixty-one billion, three hundred thirty-four million, sixty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 242902397 485804794 728707191 971609588 1214511985 1457414382 2186121573 2429023970 2914828764 3643535955 4372243146 4858047940 7287071910 8744486292 10930607865 14574143820 21861215730 43722431460 65340744793 130681489586 196022234379 261362979172 326703723965 392044468758 588066703137 653407447930 784088937516 980111171895 1176133406274 1306814895860 1960222343790 2352266812548 2940333515685 3920444687580 5880667031370 11761334062740