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1868491354968 = 2332721117474143
BaseRepresentation
bin11011001100001010110…
…000110111001101011000
320121121220101010111102100
4123030022300313031120
5221103132241324333
63550212330203400
7251664646315500
oct33141260671530
96547811114370
101868491354968
11660471727387
12262161b83560
13107275c61694
1466614cb0a00
153390c9b3213
hex1b30ac37358

1868491354968 has 144 divisors (see below), whose sum is σ = 5891983606080. Its totient is φ = 533375611776.

The previous prime is 1868491354967. The next prime is 1868491354999. The reversal of 1868491354968 is 8694531948681.

1868491354968 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 4 + 9 + 13 + 549 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1868491354896 and 1868491354905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868491354963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3703705 + ... + 4177847.

It is an arithmetic number, because the mean of its divisors is an integer number (40916552820).

Almost surely, 21868491354968 is an apocalyptic number.

1868491354968 is a gapful number since it is divisible by the number (18) 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 1868491354968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945991803040).

1868491354968 is an abundant number, since it is smaller than the sum of its proper divisors (4023492251112).

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

1868491354968 is a wasteful number, since it uses less digits than its factorization.

1868491354968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475286 (or 475272 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 1868491354968 in words is "one trillion, eight hundred sixty-eight billion, four hundred ninety-one million, three hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1117 1176 1764 2234 3351 3528 4468 6702 7819 8936 10053 13404 15638 20106 23457 26808 31276 40212 46914 54733 62552 70371 80424 93828 109466 140742 164199 187656 218932 281484 328398 437864 474143 492597 562968 656796 948286 985194 1313592 1422429 1896572 1970388 2844858 3319001 3793144 3940776 4267287 5689716 6638002 8534574 9957003 11379432 13276004 17069148 19914006 23233007 26552008 29871009 34138296 39828012 46466014 59742018 69699021 79656024 92932028 119484036 139398042 185864056 209097063 238968072 278796084 418194126 529617731 557592168 836388252 1059235462 1588853193 1672776504 2118470924 3177706386 3707324117 4236941848 4766559579 6355412772 7414648234 9533119158 11121972351 12710825544 14829296468 19066238316 22243944702 25951268819 29658592936 33365917053 38132476632 44487889404 51902537638 66731834106 77853806457 88975778808 103805075276 133463668212 155707612914 207610150552 233561419371 266927336424 311415225828 467122838742 622830451656 934245677484 1868491354968