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11076715000 = 235413198969
BaseRepresentation
bin10100101000011100…
…10100000111111000
31001120221210102102201
422110032110013320
5140141114340000
65031044235544
7541330344511
oct122416240770
931527712381
1011076715000
114774575a1a
12219169bbb4
131076aa7740
1477115da08
1544c69496a
hex2943941f8

11076715000 has 160 divisors (see below), whose sum is σ = 29423394000. Its totient is φ = 3874176000.

The previous prime is 11076714949. The next prime is 11076715009. The reversal of 11076715000 is 51767011.

It is a self number, because there is not a number n which added to its sum of digits gives 11076715000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11076715009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1230516 + ... + 1239484.

Almost surely, 211076715000 is an apocalyptic number.

11076715000 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 11076715000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711697000).

11076715000 is an abundant number, since it is smaller than the sum of its proper divisors (18346679000).

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

11076715000 is a wasteful number, since it uses less digits than its factorization.

11076715000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The spelling of 11076715000 in words is "eleven billion, seventy-six million, seven hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 625 650 760 950 988 1000 1235 1250 1300 1625 1900 1976 2375 2470 2500 2600 3250 3800 4750 4940 5000 6175 6500 8125 8969 9500 9880 11875 12350 13000 16250 17938 19000 23750 24700 30875 32500 35876 44845 47500 49400 61750 65000 71752 89690 95000 116597 123500 154375 170411 179380 224225 233194 247000 308750 340822 358760 448450 466388 582985 617500 681644 852055 896900 932776 1121125 1165970 1235000 1363288 1704110 1793800 2215343 2242250 2331940 2914925 3408220 4260275 4430686 4484500 4663880 5605625 5829850 6816440 8520550 8861372 8969000 11076715 11211250 11659700 14574625 17041100 17722744 21301375 22153430 22422500 23319400 29149250 34082200 42602750 44306860 44845000 55383575 58298500 72873125 85205500 88613720 106506875 110767150 116597000 145746250 170411000 213013750 221534300 276917875 291492500 426027500 443068600 553835750 582985000 852055000 1107671500 1384589375 2215343000 2769178750 5538357500 11076715000