Search a number
-
+
40153691648 = 29719976079
BaseRepresentation
bin100101011001010110…
…001011011000000000
310211122101020212210202
4211121112023120000
51124213321113043
630240224544332
72621021514260
oct453126133000
9124571225722
1040153691648
1116035791934
1279474820a8
133a2bb74875
141d2cb777a0
1510a02451b8
hex95958b600

40153691648 has 160 divisors (see below), whose sum is σ = 97527091200. Its totient is φ = 16132276224.

The previous prime is 40153691639. The next prime is 40153691651. The reversal of 40153691648 is 84619635104.

It is a super-2 number, since 2×401536916482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6602273 + ... + 6608351.

It is an arithmetic number, because the mean of its divisors is an integer number (609544320).

Almost surely, 240153691648 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 40153691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48763545600).

40153691648 is an abundant number, since it is smaller than the sum of its proper divisors (57373399552).

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

40153691648 is an equidigital number, since it uses as much as digits as its factorization.

40153691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 40153691648 in words is "forty billion, one hundred fifty-three million, six hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 97 112 128 133 152 194 224 256 266 304 388 448 512 532 608 679 776 896 1064 1216 1358 1552 1792 1843 2128 2432 2716 3104 3584 3686 4256 4864 5432 6079 6208 7372 8512 9728 10864 12158 12416 12901 14744 17024 21728 24316 24832 25802 29488 34048 42553 43456 48632 49664 51604 58976 68096 85106 86912 97264 103208 115501 117952 170212 173824 194528 206416 231002 235904 340424 347648 389056 412832 462004 471808 589663 680848 778112 808507 825664 924008 943616 1179326 1361696 1556224 1617014 1651328 1848016 2358652 2723392 3112448 3234028 3302656 3696032 4127641 4717304 5446784 6468056 6605312 7392064 8255282 9434608 10893568 11203597 12936112 14784128 16510564 18869216 21787136 22407194 25872224 29568256 33021128 37738432 44814388 51744448 59136512 66042256 75476864 78425179 89628776 103488896 132084512 150953728 156850358 179257552 206977792 264169024 301907456 313700716 358515104 413955584 528338048 627401432 717030208 1056676096 1254802864 1434060416 2113352192 2509605728 2868120832 5019211456 5736241664 10038422912 20076845824 40153691648