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54656078620 = 2251113103185539
BaseRepresentation
bin110010111001110000…
…011001001100011100
312020002002001110202011
4302321300121030130
51343413424003440
641035245241004
73643300000663
oct627160311434
9166062043664
1054656078620
11211a7a27910
12a714263164
135200593130
142906c67dda
15164d5139ea
hexcb9c1931c

54656078620 has 96 divisors (see below), whose sum is σ = 136153704960. Its totient is φ = 18167880960.

The previous prime is 54656078591. The next prime is 54656078647. The reversal of 54656078620 is 2687065645.

It is a happy number.

It is a super-2 number, since 2×546560786202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201811 + ... + 387349.

It is an arithmetic number, because the mean of its divisors is an integer number (1418267760).

Almost surely, 254656078620 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 54656078620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68076852480).

54656078620 is an abundant number, since it is smaller than the sum of its proper divisors (81497626340).

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

54656078620 is a wasteful number, since it uses less digits than its factorization.

54656078620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185675 (or 185673 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 54656078620 in words is "fifty-four billion, six hundred fifty-six million, seventy-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 103 110 130 143 206 220 260 286 412 515 572 715 1030 1133 1339 1430 2060 2266 2678 2860 4532 5356 5665 6695 11330 13390 14729 22660 26780 29458 58916 73645 147290 185539 294580 371078 742156 927695 1855390 2040929 2412007 3710780 4081858 4824014 8163716 9648028 10204645 12060035 19110517 20409290 24120070 26532077 38221034 40818580 48240140 53064154 76442068 95552585 106128308 132660385 191105170 210215687 248436721 265320770 382210340 420431374 496873442 530641540 840862748 993746884 1051078435 1242183605 2102156870 2484367210 2732803931 4204313740 4968734420 5465607862 10931215724 13664019655 27328039310 54656078620