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742952222944 = 251919917413527
BaseRepresentation
bin10101100111110110110…
…01110100000011100000
32122000200121200101202221
422303323121310003200
544133031232113234
61325150232320424
7104451022461211
oct12637331640340
92560617611687
10742952222944
112670a2185508
12bbba5243114
13550a2046389
1427d5d9dd408
15144d4d46eb4
hexacfb6740e0

742952222944 has 96 divisors (see below), whose sum is σ = 1548735552000. Its totient is φ = 349855925760.

The previous prime is 742952222927. The next prime is 742952222993. The reversal of 742952222944 is 449222259247.

742952222944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 742952222891 and 742952222900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210645309 + ... + 210648835.

It is an arithmetic number, because the mean of its divisors is an integer number (16132662000).

Almost surely, 2742952222944 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 742952222944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774367776000).

742952222944 is an abundant number, since it is smaller than the sum of its proper divisors (805783329056).

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

742952222944 is a wasteful number, since it uses less digits than its factorization.

742952222944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5488 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 742952222944 in words is "seven hundred forty-two billion, nine hundred fifty-two million, two hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 199 304 398 608 796 1592 1741 3184 3482 3527 3781 6368 6964 7054 7562 13928 14108 15124 27856 28216 30248 33079 55712 56432 60496 66158 67013 112864 120992 132316 134026 264632 268052 346459 529264 536104 692918 701873 1058528 1072208 1385836 1403746 2144416 2771672 2807492 5543344 5614984 6140507 6582721 11086688 11229968 12281014 13165442 13335587 22459936 24562028 26330884 26671174 49124056 52661768 53342348 98248112 105323536 106684696 116669633 196496224 210647072 213369392 233339266 426738784 466678532 933357064 1221960893 1866714128 2443921786 3733428256 4887843572 9775687144 19551374288 23217256967 39102748576 46434513934 92869027868 185738055736 371476111472 742952222944