Search a number
-
+
1157236851744 = 253223315635601
BaseRepresentation
bin10000110101110000101…
…100010000010000100000
311002122000211022002122200
4100311300230100100200
5122430010113223434
62243343253533200
7146415256640301
oct20656054202040
94078024262580
101157236851744
11406866040956
12168344344200
1385185c3ba9c
1440020daa7a8
1520180848199
hex10d70b10420

1157236851744 has 144 divisors (see below), whose sum is σ = 3544748573184. Its totient is φ = 357071616000.

The previous prime is 1157236851733. The next prime is 1157236851769. The reversal of 1157236851744 is 4471586327511.

1157236851744 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 23 + 68 + 517 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2612457 + ... + 3023144.

It is an arithmetic number, because the mean of its divisors is an integer number (24616309536).

Almost surely, 21157236851744 is an apocalyptic number.

It is an amenable number.

1157236851744 is an abundant number, since it is smaller than the sum of its proper divisors (2387511721440).

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

1157236851744 is a wasteful number, since it uses less digits than its factorization.

1157236851744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635671 (or 5635660 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 1157236851744 in words is "one trillion, one hundred fifty-seven billion, two hundred thirty-six million, eight hundred fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 279 288 368 372 414 496 552 558 713 736 744 828 992 1104 1116 1426 1488 1656 2139 2208 2232 2852 2976 3312 4278 4464 5704 6417 6624 8556 8928 11408 12834 17112 22816 25668 34224 51336 68448 102672 205344 5635601 11271202 16906803 22542404 33813606 45084808 50720409 67627212 90169616 101440818 129618823 135254424 174703631 180339232 202881636 259237646 270508848 349407262 388856469 405763272 518475292 524110893 541017696 698814524 777712938 811526544 1036950584 1048221786 1166569407 1397629048 1555425876 1572332679 1623053088 2073901168 2096443572 2333138814 2795258096 3110851752 3144665358 4018183513 4147802336 4192887144 4666277628 5590516192 6221703504 6289330716 8036367026 8385774288 9332555256 12054550539 12443407008 12578661432 16072734052 16771548576 18665110512 24109101078 25157322864 32145468104 36163651617 37330221024 48218202156 50314645728 64290936208 72327303234 96436404312 128581872416 144654606468 192872808624 289309212936 385745617248 578618425872 1157236851744