Search a number
-
+
23052670012764 = 223274311083191953
BaseRepresentation
bin1010011110111010111100…
…01101010000110101011100
310000121210222012122122200100
411033131132031100311130
511010143332010402024
6121010130030501100
74566333440011350
oct517353615206534
9100553865578610
1023052670012764
117388645270987
122703918664790
13cb2b1ba9ab62
14599a8030d460
1529e9bd57e7c9
hex14f75e350d5c

23052670012764 has 144 divisors (see below), whose sum is σ = 68151864132352. Its totient is φ = 6432689281536.

The previous prime is 23052670012741. The next prime is 23052670012787. The reversal of 23052670012764 is 46721007625032.

23052670012764 is a `hidden beast` number, since 2 + 30 + 526 + 70 + 0 + 1 + 27 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23052670012741) and next prime (23052670012787).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119999412 + ... + 120191364.

Almost surely, 223052670012764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23052670012764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34075932066176).

23052670012764 is an abundant number, since it is smaller than the sum of its proper divisors (45099194119588).

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

23052670012764 is a wasteful number, since it uses less digits than its factorization.

23052670012764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203096 (or 203091 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

Adding to 23052670012764 its reverse (46721007625032), we get a palindrome (69773677637796).

The spelling of 23052670012764 in words is "twenty-three trillion, fifty-two billion, six hundred seventy million, twelve thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 11083 22166 33249 44332 66498 77581 99747 132996 155162 191953 199494 232743 310324 383906 398988 465486 476569 575859 698229 767812 930972 953138 1151718 1343671 1396458 1429707 1727577 1906276 2303436 2687342 2792916 2859414 3335983 3455154 4031013 4289121 5374684 5718828 6671966 6910308 8062026 8253979 8578242 10007949 12093039 13343932 16124052 16507958 17156484 20015898 24186078 24761937 30023847 33015916 40031796 48372156 49523874 57777853 60047694 74285811 99047748 115555706 120095388 148571622 173333559 231111412 297143244 346667118 520000677 693334236 1040001354 2080002708 2127415099 4254830198 6382245297 8509660396 12764490594 14891905693 19146735891 25528981188 29783811386 38293471782 44675717079 59567622772 76586943564 89351434158 91478849257 134027151237 178702868316 182957698514 268054302474 274436547771 365915397028 536108604948 548873095542 640351944799 823309643313 1097746191084 1280703889598 1646619286626 1921055834397 2561407779196 3293238573252 3842111668794 5763167503191 7684223337588 11526335006382 23052670012764