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319229416396644 = 2231315750992556193
BaseRepresentation
bin100100010010101100110001…
…1111101110101011101100100
31112212022000220220102010121020
41020211121203331311131210
5313320223321044143034
63050535545213251140
7124145364350120205
oct11045314375653544
91485260826363536
10319229416396644
1192797487297a76
122b978971793ab0
1310918287c29940
1458b8b0145b5ac
1526d8d52b9c249
hex1225663f75764

319229416396644 has 96 divisors (see below), whose sum is σ = 807434201078400. Its totient is φ = 97579623518208.

The previous prime is 319229416396469. The next prime is 319229416396777. The reversal of 319229416396644 is 446693614922913.

It is a super-2 number, since 2×3192294163966442 (a number of 30 digits) contains 22 as substring.

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, 123606612 + ... + 126162804.

It is an arithmetic number, because the mean of its divisors is an integer number (8410772927900).

Almost surely, 2319229416396644 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 319229416396644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403717100539200).

319229416396644 is an abundant number, since it is smaller than the sum of its proper divisors (488204784681756).

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

319229416396644 is a wasteful number, since it uses less digits than its factorization.

319229416396644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561469 (or 2561467 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 69.

The spelling of 319229416396644 in words is "three hundred nineteen trillion, two hundred twenty-nine billion, four hundred sixteen million, three hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 5099 6123 8164 10198 12246 15297 20396 24492 30594 61188 66287 132574 198861 265148 397722 795444 800543 1601086 2401629 2556193 3202172 4803258 5112386 7668579 9606516 10224772 10407059 15337158 20814118 30674316 31221177 33230509 41628236 62442354 66461018 99691527 124884708 132922036 199383054 398766108 401322301 802644602 1203966903 1605289204 2407933806 4815867612 5217189913 10434379826 13034028107 15651569739 20868759652 26068056214 31303139478 39102084321 52136112428 62606278956 78204168642 156408337284 169442365391 338884730782 508327096173 677769461564 1016654192346 2033308384692 2046342412799 4092684825598 6139027238397 8185369651196 12278054476794 24556108953588 26602451366387 53204902732774 79807354099161 106409805465548 159614708198322 319229416396644