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76533871000 = 2353293771327
BaseRepresentation
bin100011101000111000…
…1100011000110011000
321022112202222110212211
41013101301203012120
52223220132333000
655054214244504
75346403112146
oct1072161430630
9238482873784
1076533871000
112a504414064
12129bb056734
1372a8cc7402
1439c06b6596
151ece0527ba
hex11d1c63198

76533871000 has 128 divisors (see below), whose sum is σ = 190274572800. Its totient is φ = 28758643200.

The previous prime is 76533870977. The next prime is 76533871031. The reversal of 76533871000 is 17833567.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037337 + ... + 1108663.

It is an arithmetic number, because the mean of its divisors is an integer number (1486520100).

Almost surely, 276533871000 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 76533871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95137286400).

76533871000 is an abundant number, since it is smaller than the sum of its proper divisors (113740701800).

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

76533871000 is a wasteful number, since it uses less digits than its factorization.

76533871000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71414 (or 71400 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 76533871000 in words is "seventy-six billion, five hundred thirty-three million, eight hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 50 58 74 100 116 125 145 148 185 200 232 250 290 296 370 500 580 725 740 925 1000 1073 1160 1450 1480 1850 2146 2900 3625 3700 4292 4625 5365 5800 7250 7400 8584 9250 10730 14500 18500 21460 26825 29000 37000 42920 53650 71327 107300 134125 142654 214600 268250 285308 356635 536500 570616 713270 1073000 1426540 1783175 2068483 2639099 2853080 3566350 4136966 5278198 7132700 8273932 8915875 10342415 10556396 13195495 14265400 16547864 17831750 20684830 21112792 26390990 35663500 41369660 51712075 52781980 65977475 71327000 76533871 82739320 103424150 105563960 131954950 153067742 206848300 258560375 263909900 306135484 329887375 382669355 413696600 517120750 527819800 612270968 659774750 765338710 1034241500 1319549500 1530677420 1913346775 2068483000 2639099000 3061354840 3826693550 7653387100 9566733875 15306774200 19133467750 38266935500 76533871000