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11660436340 = 2257177962017
BaseRepresentation
bin10101101110000010…
…00010001101110100
31010002122011112120121
422313001002031310
5142340032430330
65205015341324
7561646034140
oct126701021564
933078145517
1011660436340
114a44015453
122315081844
13113a9c3997
147c88aa220
15483a4917a
hex2b7042374

11660436340 has 96 divisors (see below), whose sum is σ = 30006789120. Its totient is φ = 3715006464.

The previous prime is 11660436313. The next prime is 11660436341. The reversal of 11660436340 is 4363406611.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11660436296 and 11660436305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11660436341) 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, 157012 + ... + 219028.

It is an arithmetic number, because the mean of its divisors is an integer number (312570720).

Almost surely, 211660436340 is an apocalyptic number.

11660436340 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 11660436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15003394560).

11660436340 is an abundant number, since it is smaller than the sum of its proper divisors (18346352780).

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

11660436340 is a wasteful number, since it uses less digits than its factorization.

11660436340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62129 (or 62127 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 11660436340 in words is "eleven billion, six hundred sixty million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 79 85 119 140 158 170 238 316 340 395 476 553 595 790 1106 1190 1343 1580 2212 2380 2686 2765 5372 5530 6715 9401 11060 13430 18802 26860 37604 47005 62017 94010 124034 188020 248068 310085 434119 620170 868238 1054289 1240340 1736476 2108578 2170595 4217156 4341190 4899343 5271445 7380023 8682380 9798686 10542890 14760046 19597372 21085780 24496715 29520092 34295401 36900115 48993430 68590802 73800230 83288831 97986860 137181604 147600460 166577662 171477005 333155324 342954010 416444155 583021817 685908020 832888310 1166043634 1665776620 2332087268 2915109085 5830218170 11660436340