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742272340384 = 25418935917707
BaseRepresentation
bin10101100110100101110…
…00010001000110100000
32121221221020100210020101
422303102320101012200
544130133204343014
61324554544152144
7104425125535261
oct12632270210640
92557836323211
10742272340384
112668834266a3
12bba35608654
1354cc422b9c3
1427cd75c0968
15144952ea474
hexacd2e111a0

742272340384 has 96 divisors (see below), whose sum is σ = 1518113923200. Its totient is φ = 356998287360.

The previous prime is 742272340361. The next prime is 742272340387. The reversal of 742272340384 is 483043272247.

It is not an unprimeable number, because it can be changed into a prime (742272340387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41910859 + ... + 41928565.

It is an arithmetic number, because the mean of its divisors is an integer number (15813686700).

Almost surely, 2742272340384 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 742272340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759056961600).

742272340384 is an abundant number, since it is smaller than the sum of its proper divisors (775841582816).

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

742272340384 is a wasteful number, since it uses less digits than its factorization.

742272340384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18206 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

It can be divided in two parts, 742272 and 340384, that added together give a triangular number (1082656 = T1471).

The spelling of 742272340384 in words is "seven hundred forty-two billion, two hundred seventy-two million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 89 164 178 328 356 359 656 712 718 1312 1424 1436 2848 2872 3649 5744 7298 11488 14596 14719 17707 29192 29438 31951 35414 58384 58876 63902 70828 116768 117752 127804 141656 235504 255608 283312 471008 511216 566624 725987 1022432 1309991 1451974 1575923 2619982 2903948 3151846 5239964 5807896 6303692 6356813 10479928 11615792 12607384 12713626 20959856 23231584 25214768 25427252 41919712 50429536 50854504 64612843 101709008 129225686 203418016 258451372 260629333 516902744 521258666 565756357 1033805488 1042517332 1131512714 2067610976 2085034664 2263025428 4170069328 4526050856 8340138656 9052101712 18104203424 23196010637 46392021274 92784042548 185568085096 371136170192 742272340384