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73826003316 = 223134766115233
BaseRepresentation
bin100010011000001011…
…1110110100101110100
321001120001122112202010
41010300113312211310
52202143424101231
653525403244220
75222322450162
oct1046027664564
9231501575663
1073826003316
1129344943a8a
1212384219670
136c66cb7840
143804bd6232
151dc1466546
hex11305f6974

73826003316 has 96 divisors (see below), whose sum is σ = 189757628928. Its totient is φ = 22197288960.

The previous prime is 73826003311. The next prime is 73826003323. The reversal of 73826003316 is 61330062837.

It is a super-2 number, since 2×738260033162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73826003311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4838836 + ... + 4854068.

It is an arithmetic number, because the mean of its divisors is an integer number (1976641968).

Almost surely, 273826003316 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 73826003316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94878814464).

73826003316 is an abundant number, since it is smaller than the sum of its proper divisors (115931625612).

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

73826003316 is a wasteful number, since it uses less digits than its factorization.

73826003316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15961 (or 15959 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 73826003316 in words is "seventy-three billion, eight hundred twenty-six million, three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 661 1222 1322 1833 1983 2444 2644 3666 3966 7332 7932 8593 15233 17186 25779 30466 31067 34372 45699 51558 60932 62134 91398 93201 103116 124268 182796 186402 198029 372804 396058 403871 594087 715951 792116 807742 1188174 1211613 1431902 1615484 2147853 2376348 2423226 2863804 4295706 4846452 8591412 9307363 10069013 18614726 20138026 27922089 30207039 37229452 40276052 55844178 60414078 111688356 120828156 130897169 261794338 392691507 473243611 523588676 785383014 946487222 1419730833 1570766028 1892974444 2839461666 5678923332 6152166943 12304333886 18456500829 24608667772 36913001658 73826003316