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42153178672 = 24112812932909
BaseRepresentation
bin100111010000100001…
…100111011000110000
311000210201122100100201
4213100201213120300
51142312203204142
631210452524544
73021411051433
oct472041473060
9130721570321
1042153178672
1116971409050
128205020754
133c8a19c597
14207c53b81a
15116aa55ab7
hex9d0867630

42153178672 has 80 divisors (see below), whose sum is σ = 89749568160. Its totient is φ = 19020646400.

The previous prime is 42153178657. The next prime is 42153178673. The reversal of 42153178672 is 27687135124.

It is not an unprimeable number, because it can be changed into a prime (42153178673) 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, 14489154 + ... + 14492062.

It is an arithmetic number, because the mean of its divisors is an integer number (1121869602).

Almost surely, 242153178672 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 42153178672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44874784080).

42153178672 is an abundant number, since it is smaller than the sum of its proper divisors (47596389488).

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

42153178672 is a wasteful number, since it uses less digits than its factorization.

42153178672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3496 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The spelling of 42153178672 in words is "forty-two billion, one hundred fifty-three million, one hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 281 293 562 586 1124 1172 2248 2344 2909 3091 3223 4496 4688 5818 6182 6446 11636 12364 12892 23272 24728 25784 31999 46544 49456 51568 63998 82333 127996 164666 255992 329332 511984 658664 817429 852337 905663 1317328 1634858 1704674 1811326 3269716 3409348 3622652 6539432 6818696 7245304 8991719 9375707 13078864 13637392 14490608 17983438 18751414 35966876 37502828 71933752 75005656 143867504 150011312 239506697 479013394 958026788 1916053576 2634573667 3832107152 5269147334 10538294668 21076589336 42153178672