Search a number
-
+
72031064527653 = 37115337957155003
BaseRepresentation
bin10000011000001100001010…
…000000111001001100100101
3100110001002202201212010112220
4100120030022000321030211
533420124110004341103
6413110340401102553
721113033633203110
oct2030141200711445
9313032681763486
1072031064527653
1120a51226097360
1280b4129927a59
13312666704408a
1413b0471ca7577
1584da5ecc7c53
hex41830a039325

72031064527653 has 64 divisors (see below), whose sum is σ = 122003197028352. Its totient is φ = 36711516890880.

The previous prime is 72031064527649. The next prime is 72031064527679. The reversal of 72031064527653 is 35672546013027.

It is a happy number.

It is not a de Polignac number, because 72031064527653 - 22 = 72031064527649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72031064527596 and 72031064527605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031064526653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464630050 + ... + 464785052.

It is an arithmetic number, because the mean of its divisors is an integer number (1906299953568).

Almost surely, 272031064527653 is an apocalyptic number.

It is an amenable number.

72031064527653 is a deficient number, since it is larger than the sum of its proper divisors (49972132500699).

72031064527653 is a wasteful number, since it uses less digits than its factorization.

72031064527653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193034.

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 72031064527653 in words is "seventy-two trillion, thirty-one billion, sixty-four million, five hundred twenty-seven thousand, six hundred fifty-three".

Divisors: 1 3 7 11 21 33 53 77 159 231 371 583 1113 1749 4081 12243 37957 113871 155003 265699 417527 465009 797097 1085021 1252581 1705033 2011721 2922689 3255063 5115099 6035163 8215159 8768067 11935231 14082047 22128931 24645477 35805693 42246141 57506113 66386793 90366749 154902517 172518339 271100247 464707551 632567243 1897701729 5883448871 17650346613 41184142097 64717937581 123552426291 194153812743 311822790163 453025563067 935468370489 1359076689201 2182759531141 3430050691793 6548278593423 10290152075379 24010354842551 72031064527653