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10700054478 = 235191637109
BaseRepresentation
bin10011111011100010…
…11101111111001110
31000121201001002100000
421331301131333032
5133403203220403
64525431145130
7526104651051
oct117561357716
930551032300
1010700054478
1145a09a1333
1220a75151a6
131016a485a9
14737112a98
154295917a3
hex27dc5dfce

10700054478 has 96 divisors (see below), whose sum is σ = 25466313600. Its totient is φ = 3357762336.

The previous prime is 10700054467. The next prime is 10700054479. The reversal of 10700054478 is 87445000701.

10700054478 is a `hidden beast` number, since 107 + 0 + 0 + 0 + 544 + 7 + 8 = 666.

It is a super-2 number, since 2×107000544782 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10700054479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501588 + ... + 1508696.

It is an arithmetic number, because the mean of its divisors is an integer number (265274100).

Almost surely, 210700054478 is an apocalyptic number.

10700054478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10700054478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733156800).

10700054478 is an abundant number, since it is smaller than the sum of its proper divisors (14766259122).

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

10700054478 is a wasteful number, since it uses less digits than its factorization.

10700054478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10700054478 in words is "ten billion, seven hundred million, fifty-four thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 163 171 243 326 342 486 489 513 978 1026 1467 1539 2934 3078 3097 4401 4617 6194 7109 8802 9234 9291 13203 14218 18582 21327 26406 27873 39609 42654 55746 63981 79218 83619 127962 135071 167238 191943 250857 270142 383886 405213 501714 575829 752571 810426 1151658 1158767 1215639 1505142 1727487 2317534 2431278 3454974 3476301 3646917 6952602 7293834 10428903 10940751 20857806 21881502 22016573 31286709 32822253 44033146 62573418 65644506 66049719 93860127 132099438 187720254 198149157 281580381 396298314 563160762 594447471 1188894942 1783342413 3566684826 5350027239 10700054478