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54250754264 = 23719434012957
BaseRepresentation
bin110010100001100110…
…001101000011011000
312012000211100212020222
4302201212031003120
51342101143114024
640531125535212
73630245542220
oct624146150330
9165024325228
1054250754264
112100a155703
12a620574508
135167609235
1428a90b9080
151627b4c85e
hexca198d0d8

54250754264 has 128 divisors (see below), whose sum is σ = 125570649600. Its totient is φ = 21453465600.

The previous prime is 54250754251. The next prime is 54250754269. The reversal of 54250754264 is 46245705245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54250754269) 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, 18345074 + ... + 18348030.

It is an arithmetic number, because the mean of its divisors is an integer number (981020700).

Almost surely, 254250754264 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 54250754264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62785324800).

54250754264 is an abundant number, since it is smaller than the sum of its proper divisors (71319895336).

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

54250754264 is a wasteful number, since it uses less digits than its factorization.

54250754264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 44.

The spelling of 54250754264 in words is "fifty-four billion, two hundred fifty million, seven hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 76 86 133 152 172 266 301 344 401 532 602 802 817 1064 1204 1604 1634 2408 2807 2957 3208 3268 5614 5719 5914 6536 7619 11228 11438 11828 15238 17243 20699 22456 22876 23656 30476 34486 41398 45752 53333 56183 60952 68972 82796 106666 112366 120701 127151 137944 165592 213332 224732 241402 254302 327617 393281 426664 449464 482804 508604 655234 786562 890057 965608 1017208 1185757 1310468 1573124 1780114 2293319 2371514 2415869 2620936 3146248 3560228 4586638 4743028 4831738 7120456 8300299 9173276 9486056 9663476 16600598 16911083 18346552 19326952 22529383 33201196 33822166 45058766 50987551 66402392 67644332 90117532 101975102 135288664 157705681 180235064 203950204 315411362 356912857 407900408 630822724 713825714 968763469 1261645448 1427651428 1937526938 2855302856 3875053876 6781344283 7750107752 13562688566 27125377132 54250754264