Search a number
-
+
36444023496 = 2334173789413
BaseRepresentation
bin100001111100001110…
…111010101011001000
310111001211212012210000
4201330032322223020
51044114132222441
624424145523000
72430055042236
oct417416725310
9114054765700
1036444023496
1114501779291
127091043460
13358a44745a
141a9a1db956
15e3471e2b6
hex87c3baac8

36444023496 has 160 divisors (see below), whose sum is σ = 111003904440. Its totient is φ = 11124283392.

The previous prime is 36444023489. The next prime is 36444023507. The reversal of 36444023496 is 69432044463.

It is a happy number.

36444023496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36370304100 + 73719396 = 190710^2 + 8586^2 .

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, 362886 + ... + 452298.

Almost surely, 236444023496 is an apocalyptic number.

36444023496 is a gapful number since it is divisible by the number (36) 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 36444023496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55501952220).

36444023496 is an abundant number, since it is smaller than the sum of its proper divisors (74559880944).

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

36444023496 is a wasteful number, since it uses less digits than its factorization.

36444023496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89485 (or 89472 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 36444023496 in words is "thirty-six billion, four hundred forty-four million, twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 81 102 108 111 136 148 153 162 204 216 222 296 306 324 333 408 444 459 612 629 648 666 888 918 999 1224 1258 1332 1377 1836 1887 1998 2516 2664 2754 2997 3672 3774 3996 5032 5508 5661 5994 7548 7992 11016 11322 11988 15096 16983 22644 23976 33966 45288 50949 67932 89413 101898 135864 178826 203796 268239 357652 407592 536478 715304 804717 1072956 1520021 1609434 2145912 2414151 3040042 3218868 3308281 4560063 4828302 6080084 6437736 6616562 7242453 9120126 9656604 9924843 12160168 13233124 13680189 14484906 18240252 19313208 19849686 26466248 27360378 28969812 29774529 36480504 39699372 41040567 54720756 56240777 57939624 59549058 79398744 82081134 89323587 109441512 112481554 119098116 123121701 164162268 168722331 178647174 224963108 238196232 246243402 267970761 328324536 337444662 357294348 449926216 492486804 506166993 535941522 674889324 714588696 984973608 1012333986 1071883044 1349778648 1518500979 2024667972 2143766088 3037001958 4049335944 4555502937 6074003916 9111005874 12148007832 18222011748 36444023496