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993929350428 = 223375189253367
BaseRepresentation
bin11100111011010101100…
…11100100110100011100
310112000111122102110211000
432131222303210310130
5112241031403203203
62040334351230300
7131544332040150
oct16355263446434
93460448373730
10993929350428
11353583230033
12140768b18390
137295b6946c1
143616c0c7060
151acc38254a3
hexe76ace4d1c

993929350428 has 96 divisors (see below), whose sum is σ = 2945555020800. Its totient is φ = 283923966528.

The previous prime is 993929350423. The next prime is 993929350459. The reversal of 993929350428 is 824053929399.

993929350428 is a `hidden beast` number, since 9 + 9 + 39 + 2 + 93 + 504 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993929350423) 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, 3796201 + ... + 4049567.

It is an arithmetic number, because the mean of its divisors is an integer number (30682864800).

Almost surely, 2993929350428 is an apocalyptic number.

It is an amenable number.

993929350428 is an abundant number, since it is smaller than the sum of its proper divisors (1951625670372).

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

993929350428 is a wasteful number, since it uses less digits than its factorization.

993929350428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258576 (or 258568 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 993929350428 in words is "nine hundred ninety-three billion, nine hundred twenty-nine million, three hundred fifty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 5189 10378 15567 20756 31134 36323 46701 62268 72646 93402 108969 140103 145292 186804 217938 253367 280206 326907 435876 506734 560412 653814 760101 980721 1013468 1307628 1520202 1773569 1961442 2280303 3040404 3547138 3922884 4560606 5320707 6840909 7094276 9121212 10641414 13681818 15962121 21282828 27363636 31924242 47886363 63848484 95772726 191545452 1314721363 2629442726 3944164089 5258885452 7888328178 9203049541 11832492267 15776656356 18406099082 23664984534 27609148623 35497476801 36812198164 47329969068 55218297246 70994953602 82827445869 110436594492 141989907204 165654891738 248482337607 331309783476 496964675214 993929350428