Search a number
-
+
61299524772304 = 24713971021425107
BaseRepresentation
bin11011111000000011010000…
…11001100010000111010000
322001001011210021111220100121
431330001220121202013100
531013312411320203204
6334212340220200024
715624513240306460
oct1574015031420720
9261034707456317
1061299524772304
1118593a89727735
126a60312999014
13282869c3851c0
14111ccacb37ba0
1571481be04b54
hex37c0686621d0

61299524772304 has 160 divisors (see below), whose sum is σ = 147827749696256. Its totient is φ = 23976794603520.

The previous prime is 61299524772301. The next prime is 61299524772373. The reversal of 61299524772304 is 40327742599216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61299524772301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143985319 + ... + 144410425.

Almost surely, 261299524772304 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 61299524772304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73913874848128).

61299524772304 is an abundant number, since it is smaller than the sum of its proper divisors (86528224923952).

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

61299524772304 is a wasteful number, since it uses less digits than its factorization.

61299524772304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426253 (or 426247 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 61299524772304 in words is "sixty-one trillion, two hundred ninety-nine billion, five hundred twenty-four million, seven hundred seventy-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 97 104 112 182 194 208 364 388 679 728 776 1021 1261 1358 1456 1552 2042 2522 2716 4084 5044 5432 7147 8168 8827 10088 10864 13273 14294 16336 17654 20176 26546 28588 35308 53092 57176 70616 92911 99037 106184 114352 141232 185822 198074 212368 371644 396148 425107 693259 743288 792296 850214 1287481 1386518 1486576 1584592 1700428 2574962 2773036 2975749 3400856 5149924 5526391 5546072 5951498 6801712 9012367 10299848 11052782 11092144 11902996 18024734 20599696 22105564 23805992 36049468 38684737 41235379 44211128 47611984 72098936 77369474 82470758 88422256 144197872 154738948 164941516 288647653 309477896 329883032 434034247 536059927 577295306 618955792 659766064 868068494 1072119854 1154590612 1736136988 2144239708 2309181224 3038239729 3472273976 3752419489 4288479416 4618362448 5642445211 6076479458 6944547952 7504838978 8576958832 11284890422 12152958916 15009677956 22569780844 24305917832 30019355912 39497116477 42101321959 45139561688 48611835664 60038711824 78994232954 84202643918 90279123376 157988465908 168405287836 294709253713 315976931816 336810575672 547317185467 589418507426 631953863632 673621151344 1094634370934 1178837014852 2189268741868 2357674029704 3831220298269 4378537483736 4715348059408 7662440596538 8757074967472 15324881193076 30649762386152 61299524772304