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56703632220 = 223254147163477
BaseRepresentation
bin110100110011110011…
…001100001101011100
312102100202212222020200
4310303303030031130
51412112112212340
642014351343500
74045111631004
oct646363141534
9172322788220
1056703632220
11220587a4174
12aba5b21b90
13546884a201
142a5cb81004
15171d16b330
hexd33ccc35c

56703632220 has 144 divisors (see below), whose sum is σ = 179946119808. Its totient is φ = 14438200320.

The previous prime is 56703632147. The next prime is 56703632231. The reversal of 56703632220 is 2223630765.

It is a happy number.

56703632220 is a `hidden beast` number, since 5 + 6 + 70 + 363 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265122 + ... + 428598.

It is an arithmetic number, because the mean of its divisors is an integer number (1249625832).

Almost surely, 256703632220 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 56703632220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89973059904).

56703632220 is an abundant number, since it is smaller than the sum of its proper divisors (123242487588).

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

56703632220 is a wasteful number, since it uses less digits than its factorization.

56703632220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163580 (or 163575 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 56703632220 in words is "fifty-six billion, seven hundred three million, six hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 47 60 82 90 94 123 141 164 180 188 205 235 246 282 369 410 423 470 492 564 615 705 738 820 846 940 1230 1410 1476 1692 1845 1927 2115 2460 2820 3690 3854 4230 5781 7380 7708 8460 9635 11562 17343 19270 23124 28905 34686 38540 57810 69372 86715 115620 163477 173430 326954 346860 490431 653908 817385 980862 1471293 1634770 1961724 2452155 2942586 3269540 4904310 5885172 6702557 7356465 7683419 9808620 13405114 14712930 15366838 20107671 23050257 26810228 29425860 30733676 33512785 38417095 40215342 46100514 60323013 67025570 69150771 76834190 80430684 92201028 100538355 115251285 120646026 134051140 138301542 153668380 201076710 230502570 241292052 276603084 301615065 315020179 345753855 402153420 461005140 603230130 630040358 691507710 945060537 1206460260 1260080716 1383015420 1575100895 1890121074 2835181611 3150201790 3780242148 4725302685 5670363222 6300403580 9450605370 11340726444 14175908055 18901210740 28351816110 56703632220