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10645505000 = 235413199823
BaseRepresentation
bin10011110101000010…
…11000001111101000
31000110220101200111222
421322201120033220
5133300222130000
64520202041212
7524543204504
oct117241301750
930426350458
1010645505000
114573123519
1220911a9208
1310086594b0
1472db93304
154248b8a85
hex27a8583e8

10645505000 has 160 divisors (see below), whose sum is σ = 27028848000. Its totient is φ = 3906144000.

The previous prime is 10645504999. The next prime is 10645505027. The reversal of 10645505000 is 50554601.

It is a super-2 number, since 2×106455050002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12934589 + ... + 12935411.

It is an arithmetic number, because the mean of its divisors is an integer number (168930300).

Almost surely, 210645505000 is an apocalyptic number.

10645505000 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 10645505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514424000).

10645505000 is an abundant number, since it is smaller than the sum of its proper divisors (16383343000).

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

10645505000 is a wasteful number, since it uses less digits than its factorization.

10645505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 10645505000 in words is "ten billion, six hundred forty-five million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 199 200 250 260 325 398 500 520 625 650 796 823 995 1000 1250 1300 1592 1625 1646 1990 2500 2587 2600 3250 3292 3980 4115 4975 5000 5174 6500 6584 7960 8125 8230 9950 10348 10699 12935 13000 16250 16460 19900 20575 20696 21398 24875 25870 32500 32920 39800 41150 42796 49750 51740 53495 64675 65000 82300 85592 99500 102875 103480 106990 124375 129350 163777 164600 199000 205750 213980 248750 258700 267475 323375 327554 411500 427960 497500 514375 517400 534950 646750 655108 818885 823000 995000 1028750 1069900 1293500 1310216 1337375 1616875 1637770 2057500 2129101 2139800 2587000 2674750 3233750 3275540 4094425 4115000 4258202 5349500 6467500 6551080 6686875 8188850 8516404 10645505 10699000 12935000 13373750 16377700 17032808 20472125 21291010 26747500 32755400 40944250 42582020 53227525 53495000 81888500 85164040 102360625 106455050 163777000 204721250 212910100 266137625 409442500 425820200 532275250 818885000 1064550500 1330688125 2129101000 2661376250 5322752500 10645505000