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61089799752 = 23336737311317
BaseRepresentation
bin111000111001001111…
…000101111001001000
312211200110020100222000
4320321033011321020
52000102442043002
644021514231000
74261601505312
oct707117057110
9184613210860
1061089799752
11239a9665813
12ba0aa25460
1359b7479107
142d574d87b2
1518c827161c
hexe393c5e48

61089799752 has 128 divisors (see below), whose sum is σ = 172703625600. Its totient is φ = 20003791104.

The previous prime is 61089799733. The next prime is 61089799783. The reversal of 61089799752 is 25799798016.

61089799752 is a `hidden beast` number, since 610 + 8 + 9 + 7 + 9 + 9 + 7 + 5 + 2 = 666.

61089799752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61089799752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5392398 + ... + 5403714.

It is an arithmetic number, because the mean of its divisors is an integer number (1349247075).

Almost surely, 261089799752 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 61089799752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86351812800).

61089799752 is an abundant number, since it is smaller than the sum of its proper divisors (111613825848).

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

61089799752 is a wasteful number, since it uses less digits than its factorization.

61089799752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11772 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

It can be divided in two parts, 610897 and 99752, that added together give a square (710649 = 8432).

The spelling of 61089799752 in words is "sixty-one billion, eighty-nine million, seven hundred ninety-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 373 402 536 603 746 804 1119 1206 1492 1608 1809 2238 2412 2984 3357 3618 4476 4824 6714 7236 8952 10071 11317 13428 14472 20142 22634 24991 26856 33951 40284 45268 49982 67902 74973 80568 90536 99964 101853 135804 149946 199928 203706 224919 271608 299892 305559 407412 449838 599784 611118 674757 758239 814824 899676 1222236 1349514 1516478 1799352 2274717 2444472 2699028 3032956 4221241 4549434 5398056 6065912 6824151 8442482 9098868 12663723 13648302 16884964 18197736 20472453 25327446 27296604 33769928 37991169 40944906 50654892 54593208 75982338 81889812 101309784 113973507 151964676 163779624 227947014 282823147 303929352 455894028 565646294 848469441 911788056 1131292588 1696938882 2262585176 2545408323 3393877764 5090816646 6787755528 7636224969 10181633292 15272449938 20363266584 30544899876 61089799752