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54117360840 = 23355357714747
BaseRepresentation
bin110010011001101001…
…010110010011001000
312011200112100202212210
4302121221112103020
51341313021021330
640510002505120
73624035656134
oct623151262310
9164615322783
1054117360840
1120a50926204
12a5a39651a0
135145aa300a
1428954b43c4
15161b09d8b0
hexc99a564c8

54117360840 has 128 divisors (see below), whose sum is σ = 165713247360. Its totient is φ = 14133510144.

The previous prime is 54117360821. The next prime is 54117360877. The reversal of 54117360840 is 4806371145.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3662347 + ... + 3677093.

It is an arithmetic number, because the mean of its divisors is an integer number (1294634745).

Almost surely, 254117360840 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 54117360840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82856623680).

54117360840 is an abundant number, since it is smaller than the sum of its proper divisors (111595886520).

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

54117360840 is a wasteful number, since it uses less digits than its factorization.

54117360840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15391 (or 15387 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 54117360840 in words is "fifty-four billion, one hundred seventeen million, three hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 577 636 795 1060 1154 1272 1590 1731 2120 2308 2885 3180 3462 4616 5770 6360 6924 8655 11540 13848 14747 17310 23080 29494 30581 34620 44241 58988 61162 69240 73735 88482 91743 117976 122324 147470 152905 176964 183486 221205 244648 294940 305810 353928 366972 442410 458715 589880 611620 733944 781591 884820 917430 1223240 1563182 1769640 1834860 2344773 3126364 3669720 3907955 4689546 6252728 7815910 8509019 9379092 11723865 15631820 17018038 18758184 23447730 25527057 31263640 34036076 42545095 46895460 51054114 68072152 85090190 93790920 102108228 127635285 170180380 204216456 255270570 340360760 450978007 510541140 901956014 1021082280 1352934021 1803912028 2254890035 2705868042 3607824056 4509780070 5411736084 6764670105 9019560140 10823472168 13529340210 18039120280 27058680420 54117360840