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31669411968 = 273361150223
BaseRepresentation
bin11101011111101001…
…001110000010000000
310000202002120211002000
4131133221032002000
51004324332140333
622314305224000
72200540363065
oct353751160200
9100662524060
1031669411968
1112481614a47
12617a032000
132ca91c1b2c
14176604ac6c
15c55489713
hex75fa4e080

31669411968 has 128 divisors (see below), whose sum is σ = 95001657600. Its totient is φ = 10383344640.

The previous prime is 31669411927. The next prime is 31669412051. The reversal of 31669411968 is 86911496613.

It is a happy number.

31669411968 is a `hidden beast` number, since 3 + 166 + 9 + 411 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135705 + ... + 285927.

It is an arithmetic number, because the mean of its divisors is an integer number (742200450).

Almost surely, 231669411968 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 31669411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500828800).

31669411968 is an abundant number, since it is smaller than the sum of its proper divisors (63332245632).

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

31669411968 is a wasteful number, since it uses less digits than its factorization.

31669411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150307 (or 150289 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 31669411968 in words is "thirty-one billion, six hundred sixty-nine million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 732 864 976 1098 1152 1464 1647 1728 1952 2196 2928 3294 3456 3904 4392 5856 6588 7808 8784 11712 13176 17568 23424 26352 35136 52704 70272 105408 150223 210816 300446 450669 600892 901338 1201784 1352007 1802676 2403568 2704014 3605352 4056021 4807136 5408028 7210704 8112042 9163603 9614272 10816056 14421408 16224084 18327206 19228544 21632112 27490809 28842816 32448168 36654412 43264224 54981618 57685632 64896336 73308824 82472427 86528448 109963236 129792672 146617648 164944854 173056896 219926472 247417281 259585344 293235296 329889708 439852944 494834562 519170688 586470592 659779416 879705888 989669124 1172941184 1319558832 1759411776 1979338248 2639117664 3518823552 3958676496 5278235328 7917352992 10556470656 15834705984 31669411968