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54655806420 = 223252947921859
BaseRepresentation
bin110010111001101111…
…010110101111010100
312020002001112122100200
4302321233112233110
51343413341301140
641035235340500
73643264455255
oct627157265724
9166061478320
1054655806420
11211a7861356
12a714151730
1352004c9277
142906bd6b2c
15164d4ad030
hexcb9bd6bd4

54655806420 has 144 divisors (see below), whose sum is σ = 171872064000. Its totient is φ = 14042278656.

The previous prime is 54655806419. The next prime is 54655806427. The reversal of 54655806420 is 2460855645.

54655806420 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 580 + 64 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54655806427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2489451 + ... + 2511309.

It is an arithmetic number, because the mean of its divisors is an integer number (1193556000).

Almost surely, 254655806420 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 54655806420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85936032000).

54655806420 is an abundant number, since it is smaller than the sum of its proper divisors (117216257580).

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

54655806420 is a wasteful number, since it uses less digits than its factorization.

54655806420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22382 (or 22377 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 54655806420 in words is "fifty-four billion, six hundred fifty-five million, eight hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 479 522 580 870 958 1044 1305 1437 1740 1916 2395 2610 2874 4311 4790 5220 5748 7185 8622 9580 13891 14370 17244 21555 21859 27782 28740 41673 43110 43718 55564 65577 69455 83346 86220 87436 109295 125019 131154 138910 166692 196731 208365 218590 250038 262308 277820 327885 393462 416730 437180 500076 625095 633911 655770 786924 833460 983655 1250190 1267822 1311540 1901733 1967310 2500380 2535644 3169555 3803466 3934620 5705199 6339110 7606932 9508665 10470461 11410398 12678220 19017330 20940922 22820796 28525995 31411383 38034660 41881844 52352305 57051990 62822766 94234149 104704610 114103980 125645532 157056915 188468298 209409220 303643369 314113830 376936596 471170745 607286738 628227660 910930107 942341490 1214573476 1518216845 1821860214 1884682980 2732790321 3036433690 3643720428 4554650535 5465580642 6072867380 9109301070 10931161284 13663951605 18218602140 27327903210 54655806420