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54141616680 = 2335597996799
BaseRepresentation
bin110010011011000101…
…111000001000101000
312011202020000002122020
4302123011320020220
51341340223213210
640512230424440
73624452101644
oct623305701050
9164666002566
1054141616680
1120a63592a58
12a5abb02120
13514ab16598
1428987c9c24
15161d290770
hexc9b178228

54141616680 has 128 divisors (see below), whose sum is σ = 167270400000. Its totient is φ = 14013252864.

The previous prime is 54141616667. The next prime is 54141616681. The reversal of 54141616680 is 8661614145.

It is not an unprimeable number, because it can be changed into a prime (54141616681) 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, 510921 + ... + 607719.

It is an arithmetic number, because the mean of its divisors is an integer number (1306800000).

Almost surely, 254141616680 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 54141616680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200000).

54141616680 is an abundant number, since it is smaller than the sum of its proper divisors (113128783320).

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

54141616680 is a wasteful number, since it uses less digits than its factorization.

54141616680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96951 (or 96947 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

It can be divided in two parts, 541416 and 16680, that added together give a triangular number (558096 = T1056).

The spelling of 54141616680 in words is "fifty-four billion, one hundred forty-one million, six hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 79 118 120 158 177 236 237 295 316 354 395 472 474 590 632 708 790 885 948 1180 1185 1416 1580 1770 1896 2360 2370 3160 3540 4661 4740 7080 9322 9480 13983 18644 23305 27966 37288 46610 55932 69915 93220 96799 111864 139830 186440 193598 279660 290397 387196 483995 559320 580794 774392 967990 1161588 1451985 1935980 2323176 2903970 3871960 5711141 5807940 7647121 11422282 11615880 15294242 17133423 22844564 22941363 28555705 30588484 34266846 38235605 45689128 45882726 57111410 61176968 68533692 76471210 85667115 91765452 114222820 114706815 137067384 152942420 171334230 183530904 228445640 229413630 305884840 342668460 451180139 458827260 685336920 902360278 917654520 1353540417 1804720556 2255900695 2707080834 3609441112 4511801390 5414161668 6767702085 9023602780 10828323336 13535404170 18047205560 27070808340 54141616680