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54696041694 = 2347163499593
BaseRepresentation
bin110010111100001000…
…110101110011011110
312020011212020210210000
4302330020311303132
51344004141313234
641043233555130
73644263453260
oct627410656336
9166155223700
1054696041694
1121218542748
12a725715aa6
135208945c18
14290c2abb30
151651ca9899
hexcbc235cde

54696041694 has 160 divisors (see below), whose sum is σ = 141448032000. Its totient is φ = 15474302208.

The previous prime is 54696041669. The next prime is 54696041737. The reversal of 54696041694 is 49614069645.

54696041694 is a `hidden beast` number, since 54 + 6 + 96 + 0 + 416 + 94 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54696041694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92235862 + ... + 92236454.

It is an arithmetic number, because the mean of its divisors is an integer number (884050200).

Almost surely, 254696041694 is an apocalyptic number.

54696041694 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54696041694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70724016000).

54696041694 is an abundant number, since it is smaller than the sum of its proper divisors (86751990306).

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

54696041694 is a wasteful number, since it uses less digits than its factorization.

54696041694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 54696041694 in words is "fifty-four billion, six hundred ninety-six million, forty-one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 163 189 326 378 489 499 567 593 978 998 1134 1141 1186 1467 1497 1779 2282 2934 2994 3423 3493 3558 4151 4401 4491 5337 6846 6986 8302 8802 8982 10269 10479 10674 12453 13203 13473 16011 20538 20958 24906 26406 26946 30807 31437 32022 37359 40419 48033 61614 62874 74718 80838 81337 92421 94311 96066 96659 112077 162674 184842 188622 193318 224154 244011 282933 289977 295907 336231 488022 565866 569359 579954 591814 672462 676613 732033 869931 887721 1138718 1353226 1464066 1708077 1739862 1775442 2029839 2071349 2196099 2609793 2663163 3416154 4059678 4142698 4392198 5124231 5219586 5326326 6089517 6214047 6588297 7829379 7989489 10248462 12179034 12428094 13176594 15372693 15658758 15978978 18268551 18642141 23968467 30745386 36537102 37284282 46118079 47936934 48232841 54805653 55926423 92236158 96465682 109611306 111852846 144698523 167779269 289397046 335558538 337629887 434095569 675259774 868191138 1012889661 1302286707 2025779322 2604573414 3038668983 3906860121 6077337966 7813720242 9116006949 18232013898 27348020847 54696041694