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1641335343372 = 22325919314892689
BaseRepresentation
bin10111111000100111001…
…101011100100100001100
312210220120111000111012200
4113320213031130210030
5203342423321441442
63254004040401500
7226403551140144
oct27704715344414
95726514014180
101641335343372
115830a501479a
12226127a76290
13bba148396ba
1459626379924
152ca6543d34c
hex17e2735c90c

1641335343372 has 144 divisors (see below), whose sum is σ = 4245539844000. Its totient is φ = 534493790208.

The previous prime is 1641335343371. The next prime is 1641335343407. The reversal of 1641335343372 is 2733435331461.

It is a happy number.

1641335343372 is a `hidden beast` number, since 1 + 6 + 4 + 13 + 3 + 534 + 33 + 72 = 666.

It is a super-2 number, since 2×16413353433722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1641335343371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610387404 + ... + 610390092.

Almost surely, 21641335343372 is an apocalyptic number.

1641335343372 is a gapful number since it is divisible by the number (12) 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 1641335343372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122769922000).

1641335343372 is an abundant number, since it is smaller than the sum of its proper divisors (2604204500628).

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

1641335343372 is a wasteful number, since it uses less digits than its factorization.

1641335343372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4435 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The spelling of 1641335343372 in words is "one trillion, six hundred forty-one billion, three hundred thirty-five million, three hundred forty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 193 236 354 386 531 579 708 772 1062 1158 1489 1737 2124 2316 2689 2978 3474 4467 5378 5956 6948 8067 8934 10756 11387 13401 16134 17868 22774 24201 26802 32268 34161 45548 48402 53604 68322 87851 96804 102483 136644 158651 175702 204966 263553 287377 317302 351404 409932 475953 518977 527106 574754 634604 790659 862131 951906 1037954 1054212 1149508 1427859 1556931 1581318 1724262 1903812 2075908 2586393 2855718 3113862 3162636 3448524 4003921 4670793 5172786 5711436 6227724 8007842 9341586 10345572 12011763 16015684 16955243 18683172 24023526 30619643 33910486 36035289 48047052 50865729 61239286 67820972 72070578 91858929 101731458 122478572 144141156 152597187 183717858 203462916 236231339 275576787 305194374 367435716 472462678 551153574 610388748 708694017 772756753 944925356 1102307148 1417388034 1545513506 2126082051 2318270259 2834776068 3091027012 4252164102 4636540518 6954810777 8504328204 9273081036 13909621554 27819243108 45592648427 91185296854 136777945281 182370593708 273555890562 410333835843 547111781124 820667671686 1641335343372