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136824052992 = 28311103157243
BaseRepresentation
bin111111101101101011…
…0010101110100000000
3111002011111121001111020
41333123112111310000
54220203424143432
6142504530145440
712612425155404
oct1773326256400
9432144531436
10136824052992
115303267a150
1222626122280
13cb968c5603
14689d905104
15385bec522c
hex1fdb595d00

136824052992 has 144 divisors (see below), whose sum is σ = 401115606528. Its totient is φ = 41059031040.

The previous prime is 136824052991. The next prime is 136824053017. The reversal of 136824052992 is 299250428631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136824052991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791523 + ... + 948765.

Almost surely, 2136824052992 is an apocalyptic number.

136824052992 is a gapful number since it is divisible by the number (12) 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 136824052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200557803264).

136824052992 is an abundant number, since it is smaller than the sum of its proper divisors (264291553536).

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

136824052992 is a wasteful number, since it uses less digits than its factorization.

136824052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157376 (or 157362 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 136824052992 in words is "one hundred thirty-six billion, eight hundred twenty-four million, fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 128 132 176 192 206 256 264 309 352 384 412 528 618 704 768 824 1056 1133 1236 1408 1648 2112 2266 2472 2816 3296 3399 4224 4532 4944 6592 6798 8448 9064 9888 13184 13596 18128 19776 26368 27192 36256 39552 54384 72512 79104 108768 145024 157243 217536 290048 314486 435072 471729 628972 870144 943458 1257944 1729673 1886916 2515888 3459346 3773832 5031776 5189019 6918692 7547664 10063552 10378038 13837384 15095328 16196029 20127104 20756076 27674768 30190656 32392058 40254208 41512152 48588087 55349536 60381312 64784116 83024304 97176174 110699072 120762624 129568232 166048608 178156319 194352348 221398144 259136464 332097216 356312638 388704696 442796288 518272928 534468957 664194432 712625276 777409392 1036545856 1068937914 1328388864 1425250552 1554818784 2073091712 2137875828 2850501104 3109637568 4146183424 4275751656 5701002208 6219275136 8551503312 11402004416 12438550272 17103006624 22804008832 34206013248 45608017664 68412026496 136824052992