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54656233215030 = 2335298578145113
BaseRepresentation
bin11000110110101101001010…
…10111011001010000110110
321011112002021212102022202000
430123112211113121100312
524130441431200340110
6312124421002400130
714340532260626466
oct1433264527312066
9234462255368660
1054656233215030
111646263a845a87
1261688b1b00046
1324660a33cb135
14d6d5392b7ba6
1564bb026811c0
hex31b5a55d9436

54656233215030 has 128 divisors (see below), whose sum is σ = 150951768739200. Its totient is φ = 14055987197952.

The previous prime is 54656233215019. The next prime is 54656233215083. The reversal of 54656233215030 is 3051233265645.

54656233215030 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 623 + 3 + 2 + 15 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×546562332150302 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2637754 + ... + 10782866.

It is an arithmetic number, because the mean of its divisors is an integer number (1179310693275).

Almost surely, 254656233215030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54656233215030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75475884369600).

54656233215030 is an abundant number, since it is smaller than the sum of its proper divisors (96295535524170).

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

54656233215030 is a wasteful number, since it uses less digits than its factorization.

54656233215030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146015 (or 8146009 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 54656233215030 in words is "fifty-four trillion, six hundred fifty-six billion, two hundred thirty-three million, two hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 857 870 1305 1566 1714 2571 2610 3915 4285 5142 7713 7830 8570 12855 15426 23139 24853 25710 38565 46278 49706 74559 77130 115695 124265 149118 223677 231390 248530 372795 447354 671031 745590 1118385 1342062 2236770 3355155 6710310 8145113 16290226 24435339 40725565 48870678 73306017 81451130 122176695 146612034 219918051 236208277 244353390 366530085 439836102 472416554 708624831 733060170 1099590255 1181041385 1417249662 2125874493 2199180510 2362082770 3543124155 4251748986 6377623479 6980361841 7086248310 10629372465 12755246958 13960723682 20941085523 21258744930 31888117395 34901809205 41882171046 62823256569 63776234790 69803618410 104705427615 125646513138 188469769707 202430493389 209410855230 314116282845 376939539414 404860986778 607291480167 628232565690 942348848535 1012152466945 1214582960334 1821874440501 1884697697070 2024304933890 3036457400835 3643748881002 5465623321503 6072914801670 9109372202505 10931246643006 18218744405010 27328116607515 54656233215030