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1028035431936 = 293424788663
BaseRepresentation
bin11101111010110111010…
…11111100111000000000
310122021112120000221010000
432331123223330320000
5113320404032310221
62104134543040000
7134162450664132
oct16753353747000
93567476027100
101028035431936
11366a95222957
121472a6ba0000
1375c35640b16
1437a859bb052
151bb1cb7ae26
hexef5bafce00

1028035431936 has 100 divisors (see below), whose sum is σ = 3068415195912. Its totient is φ = 342678463488.

The previous prime is 1028035431931. The next prime is 1028035431947. The reversal of 1028035431936 is 6391345308201.

1028035431936 is a `hidden beast` number, since 1 + 0 + 280 + 3 + 54 + 319 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1028035431891 and 1028035431900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028035431931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12352860 + ... + 12435803.

Almost surely, 21028035431936 is an apocalyptic number.

1028035431936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1028035431936 is an abundant number, since it is smaller than the sum of its proper divisors (2040379763976).

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

1028035431936 is an frugal number, since it uses more digits than its factorization.

1028035431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24788693 (or 24788668 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1028035431936 in words is "one trillion, twenty-eight billion, thirty-five million, four hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 24788663 49577326 74365989 99154652 148731978 198309304 223097967 297463956 396618608 446195934 594927912 669293901 793237216 892391868 1189855824 1338587802 1586474432 1784783736 2007881703 2379711648 2677175604 3172948864 3569567472 4015763406 4759423296 5354351208 6345897728 7139134944 8031526812 9518846592 10708702416 12691795456 14278269888 16063053624 19037693184 21417404832 28556539776 32126107248 38075386368 42834809664 57113079552 64252214496 85669619328 114226159104 128504428992 171339238656 257008857984 342678477312 514017715968 1028035431936