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920042629704 = 233411331389953
BaseRepresentation
bin11010110001101101101…
…00000110101001001000
310020221210100112011110000
431120312310012221020
5110033221403122304
61542354534323000
7123320341214202
oct15306664065110
93227710464400
10920042629704
11325208096180
1212a3884b9460
13689b4c3b503
143275d207772
1518debdb8939
hexd636d06a48

920042629704 has 160 divisors (see below), whose sum is σ = 2819741775840. Its totient is φ = 277957785600.

The previous prime is 920042629673. The next prime is 920042629799. The reversal of 920042629704 is 407926240029.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 920042629704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2164392 + ... + 2554344.

It is an arithmetic number, because the mean of its divisors is an integer number (17623386099).

Almost surely, 2920042629704 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 920042629704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409870887920).

920042629704 is an abundant number, since it is smaller than the sum of its proper divisors (1899699146136).

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

920042629704 is a wasteful number, since it uses less digits than its factorization.

920042629704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390313 (or 390300 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 920042629704 in words is "nine hundred twenty billion, forty-two million, six hundred twenty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 331 396 594 648 662 792 891 993 1188 1324 1782 1986 2376 2648 2979 3564 3641 3972 5958 7128 7282 7944 8937 10923 11916 14564 17874 21846 23832 26811 29128 32769 35748 43692 53622 65538 71496 87384 98307 107244 131076 196614 214488 262152 294921 389953 393228 589842 779906 786456 1169859 1179684 1559812 2339718 2359368 3119624 3509577 4289483 4679436 7019154 8578966 9358872 10528731 12868449 14038308 17157932 21057462 25736898 28076616 31586193 34315864 38605347 42114924 51473796 63172386 77210694 84229848 102947592 115816041 126344772 129074443 154421388 231632082 252689544 258148886 308842776 347448123 387223329 463264164 516297772 694896246 774446658 926528328 1032595544 1161669987 1389792492 1419818873 1548893316 2323339974 2779584984 2839637746 3097786632 3485009961 4259456619 4646679948 5679275492 6970019922 8518913238 9293359896 10455029883 11358550984 12778369857 13940039844 17037826476 20910059766 25556739714 27880079688 34075652952 38335109571 41820119532 51113479428 76670219142 83640239064 102226958856 115005328713 153340438284 230010657426 306680876568 460021314852 920042629704