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69428293920 = 25325107450599
BaseRepresentation
bin100000010101000111…
…1111011000100100000
320122012120120202120100
41000222033323010200
52114142120401140
651521145142400
75005332522036
oct1005217730440
9218176522510
1069428293920
1127498509907
121155748aa00
136715b7732b
143508b16556
151c15331530
hex102a3fb120

69428293920 has 144 divisors (see below), whose sum is σ = 239138827200. Its totient is φ = 18341140992.

The previous prime is 69428293903. The next prime is 69428293939. The reversal of 69428293920 is 2939282496.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71220 + ... + 379379.

It is an arithmetic number, because the mean of its divisors is an integer number (1660686300).

Almost surely, 269428293920 is an apocalyptic number.

69428293920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69428293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119569413600).

69428293920 is an abundant number, since it is smaller than the sum of its proper divisors (169710533280).

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

69428293920 is a wasteful number, since it uses less digits than its factorization.

69428293920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450727 (or 450716 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 69428293920 in words is "sixty-nine billion, four hundred twenty-eight million, two hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3210 3424 3852 4280 4815 5136 6420 7704 8560 9630 10272 12840 15408 17120 19260 25680 30816 38520 51360 77040 154080 450599 901198 1351797 1802396 2252995 2703594 3604792 4055391 4505990 5407188 6758985 7209584 8110782 9011980 10814376 13517970 14419168 16221564 18023960 20276955 21628752 27035940 32443128 36047920 40553910 43257504 48214093 54071880 64886256 72095840 81107820 96428186 108143760 129772512 144642279 162215640 192856372 216287520 241070465 289284558 324431280 385712744 433926837 482140930 578569116 648862560 723211395 771425488 867853674 964281860 1157138232 1446422790 1542850976 1735707348 1928563720 2169634185 2314276464 2892845580 3471414696 3857127440 4339268370 4628552928 5785691160 6942829392 7714254880 8678536740 11571382320 13885658784 17357073480 23142764640 34714146960 69428293920