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61393826224248 = 23373731757955733
BaseRepresentation
bin11011111010110010111010…
…01101000001100001111000
322001101012012022100000020220
431331121131031001201320
531021334024003133443
6334323533455420040
715634362150364320
oct1575313515014170
9261335168300226
1061393826224248
111861aa80408291
126a76650224620
13283454a3b47cb
14112369701a280
15716edac00a83
hex37d65d341878

61393826224248 has 128 divisors (see below), whose sum is σ = 175894363814400. Its totient is φ = 17492757106176.

The previous prime is 61393826224243. The next prime is 61393826224249. The reversal of 61393826224248 is 84242262839316.

It is a super-2 number, since 2×613938262242482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61393826224191 and 61393826224200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61393826224243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101542590 + ... + 1101598322.

It is an arithmetic number, because the mean of its divisors is an integer number (1374174717300).

Almost surely, 261393826224248 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 61393826224248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87947181907200).

61393826224248 is an abundant number, since it is smaller than the sum of its proper divisors (114500537590152).

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

61393826224248 is a wasteful number, since it uses less digits than its factorization.

61393826224248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73701 (or 73697 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 61393826224248 in words is "sixty-one trillion, three hundred ninety-three billion, eight hundred twenty-six million, two hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 373 746 1119 1492 2238 2611 2984 4476 5222 7833 8952 10444 15666 17579 20888 31332 35158 52737 55733 62664 70316 105474 111466 123053 140632 167199 210948 222932 246106 334398 369159 390131 421896 445864 492212 668796 738318 780262 984424 1170393 1337592 1476636 1560524 2340786 2953272 3121048 4681572 6556967 9363144 13113934 19670901 20788409 26227868 39341802 41576818 45898769 52455736 62365227 78683604 83153636 91797538 124730454 137696307 145518863 157367208 166307272 183595076 249460908 275392614 291037726 367190152 436556589 498921816 550785228 582075452 873113178 979730407 1101570456 1164150904 1746226356 1959460814 2939191221 3492452712 3918921628 5878382442 6858112849 7837843256 11756764884 13716225698 20574338547 23513529768 27432451396 41148677094 54864902792 82297354188 164594708376 365439441811 730878883622 1096318325433 1461757767244 2192636650866 2558076092677 2923515534488 4385273301732 5116152185354 7674228278031 8770546603464 10232304370708 15348456556062 20464608741416 30696913112124 61393826224248