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55734520400 = 24521317630481
BaseRepresentation
bin110011111010000010…
…010100101001010000
312022212020022222202022
4303322002110221100
51403121014123100
641334252111012
74012103415056
oct637202245120
9168766288668
1055734520400
1121700758109
12a975465468
135342b36370
1429aa1941d6
1516b303be85
hexcfa094a50

55734520400 has 120 divisors (see below), whose sum is σ = 152685086904. Its totient is φ = 19368345600.

The previous prime is 55734520379. The next prime is 55734520411. The reversal of 55734520400 is 402543755.

It can be written as a sum of positive squares in 12 ways, for example, as 22815498304 + 32919022096 = 151048^2 + 181436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226841 + ... + 403640.

Almost surely, 255734520400 is an apocalyptic number.

55734520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55734520400 is an abundant number, since it is smaller than the sum of its proper divisors (96950566504).

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

55734520400 is a wasteful number, since it uses less digits than its factorization.

55734520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630529 (or 630518 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 35.

The spelling of 55734520400 in words is "fifty-five billion, seven hundred thirty-four million, five hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 520 650 680 850 884 1040 1105 1300 1360 1700 1768 2210 2600 3400 3536 4420 5200 5525 6800 8840 11050 17680 22100 44200 88400 630481 1260962 2521924 3152405 5043848 6304810 8196253 10087696 10718177 12609620 15762025 16392506 21436354 25219240 31524050 32785012 40981265 42872708 50438480 53590885 63048100 65570024 81962530 85745416 107181770 126096200 131140048 139336301 163925060 171490832 204906325 214363540 252192400 267954425 278672602 327850120 409812650 428727080 535908850 557345204 655700240 696681505 819625300 857454160 1071817700 1114690408 1393363010 1639250600 2143635400 2229380816 2786726020 3278501200 3483407525 4287270800 5573452040 6966815050 11146904080 13933630100 27867260200 55734520400