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642465310004 = 2272310917951131
BaseRepresentation
bin10010101100101011110…
…10101010010100110100
32021102022111211022112122
421112111322222110310
541011232104410004
61211051113135112
764262614013360
oct11262572522464
92242274738478
10642465310004
11228516a11521
12a46203ba498
13487796b458b
142314a0322a0
1511aa2ecbcbe
hex9595eaa534

642465310004 has 96 divisors (see below), whose sum is σ = 1360683878400. Its totient is φ = 259491703680.

The previous prime is 642465310001. The next prime is 642465310141. The reversal of 642465310004 is 400013564246.

642465310004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642465310001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12539519 + ... + 12590649.

It is an arithmetic number, because the mean of its divisors is an integer number (14173790400).

Almost surely, 2642465310004 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 642465310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680341939200).

642465310004 is an abundant number, since it is smaller than the sum of its proper divisors (718218568396).

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

642465310004 is a wasteful number, since it uses less digits than its factorization.

642465310004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51453 (or 51451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 642465310004 in words is "six hundred forty-two billion, four hundred sixty-five million, three hundred ten thousand, four".

Divisors: 1 2 4 7 14 23 28 46 92 109 161 179 218 322 358 436 644 716 763 1253 1526 2506 2507 3052 4117 5012 5014 8234 10028 16468 17549 19511 28819 35098 39022 51131 57638 70196 78044 102262 115276 136577 204524 273154 357917 448753 546308 715834 897506 1176013 1431668 1795012 2352026 3141271 4704052 5573279 6282542 8232091 9152449 11146558 12565084 16464182 18304898 22293116 32928364 36609796 39012953 64067143 78025906 128134286 128185417 156051812 210506327 256268572 256370834 421012654 512741668 842025308 897297919 997616941 1473544289 1794595838 1995233882 2947088578 3589191676 3990467764 5894177156 6983318587 13966637174 22945189643 27933274348 45890379286 91780758572 160616327501 321232655002 642465310004