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119921862016 = 2711432717309
BaseRepresentation
bin110111110101111100…
…1100110010110000000
3102110112120010210100001
41233223321212112000
53431044444041031
6131031421405344
711443530002605
oct1575371462600
9373476123301
10119921862016
1146949845980
121b2a9709854
13b401c59688
145b38c066ac
1531bd1bd861
hex1bebe66580

119921862016 has 128 divisors (see below), whose sum is σ = 267707404800. Its totient is φ = 53038540800.

The previous prime is 119921862001. The next prime is 119921862019. The reversal of 119921862016 is 610268129911.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119921862019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16403770 + ... + 16411078.

It is an arithmetic number, because the mean of its divisors is an integer number (2091464100).

Almost surely, 2119921862016 is an apocalyptic number.

119921862016 is a gapful number since it is divisible by the number (16) 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 119921862016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133853702400).

119921862016 is an abundant number, since it is smaller than the sum of its proper divisors (147785542784).

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

119921862016 is a wasteful number, since it uses less digits than its factorization.

119921862016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The spelling of 119921862016 in words is "one hundred nineteen billion, nine hundred twenty-one million, eight hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 271 344 352 473 542 688 704 946 1084 1376 1408 1892 2168 2752 2981 3784 4336 5504 5962 7309 7568 8672 11653 11924 14618 15136 17344 23306 23848 29236 30272 34688 46612 47696 58472 60544 80399 93224 95392 116944 128183 160798 186448 190784 233888 256366 314287 321596 372896 381568 467776 512732 628574 643192 745792 935552 1025464 1257148 1286384 1491584 1980739 2050928 2514296 2572768 3457157 3961478 4101856 5028592 5145536 6914314 7922956 8203712 10057184 10291072 13828628 15845912 16407424 20114368 21788129 27657256 31691824 40228736 43576258 55314512 63383648 85171777 87152516 110629024 126767296 170343554 174305032 221258048 253534592 340687108 348610064 442516096 681374216 697220128 936889547 1362748432 1394440256 1873779094 2725496864 2788880512 3747558188 5450993728 7495116376 10901987456 14990232752 29980465504 59960931008 119921862016