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681242502384 = 24351271379659
BaseRepresentation
bin10011110100111010011…
…01111010010011110000
32102010101221221210100000
421322131031322103300
542130141040034014
61240543011030000
7100134552504363
oct11723515722360
92363357853300
10681242502384
11242a056a6054
12b004289b300
134c319318322
1424d880540da
1512ac2470509
hex9e9d37a4f0

681242502384 has 120 divisors (see below), whose sum is σ = 1992714680320. Its totient is φ = 225292632768.

The previous prime is 681242502323. The next prime is 681242502389. The reversal of 681242502384 is 483205242186.

681242502384 is a `hidden beast` number, since 6 + 8 + 12 + 4 + 250 + 2 + 384 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681242502389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196054 + ... + 1183605.

Almost surely, 2681242502384 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 681242502384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996357340160).

681242502384 is an abundant number, since it is smaller than the sum of its proper divisors (1311472177936).

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

681242502384 is a wasteful number, since it uses less digits than its factorization.

681242502384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379809 (or 1379791 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 681242502384 in words is "six hundred eighty-one billion, two hundred forty-two million, five hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 243 254 324 381 432 486 508 648 762 972 1016 1143 1296 1524 1944 2032 2286 3048 3429 3888 4572 6096 6858 9144 10287 13716 18288 20574 27432 30861 41148 54864 61722 82296 123444 164592 246888 493776 1379659 2759318 4138977 5518636 8277954 11037272 12416931 16555908 22074544 24833862 33111816 37250793 49667724 66223632 74501586 99335448 111752379 149003172 175216693 198670896 223504758 298006344 335257137 350433386 447009516 525650079 596012688 670514274 700866772 894019032 1051300158 1341028548 1401733544 1576950237 1788038064 2102600316 2682057096 2803467088 3153900474 4205200632 4730850711 5364114192 6307800948 8410401264 9461701422 12615601896 14192552133 18923402844 25231203792 28385104266 37846805688 42577656399 56770208532 75693611376 85155312798 113540417064 170310625596 227080834128 340621251192 681242502384