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385031760012 = 223310949736577
BaseRepresentation
bin1011001101001011010…
…11100110100010001100
31100210211112011222212000
411212211223212202030
522302021112310022
6452514154512300
736550305650244
oct5464553464214
91323745158760
10385031760012
11139322433129
1262756435690
132a4015623c3
14148c8288b24
15a0377a96ac
hex59a5ae688c

385031760012 has 96 divisors (see below), whose sum is σ = 1007744337600. Its totient is φ = 127121550336.

The previous prime is 385031759977. The next prime is 385031760023. The reversal of 385031760012 is 210067130583.

385031760012 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 31 + 7 + 600 + 12 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 58538868 + ... + 58545444.

It is an arithmetic number, because the mean of its divisors is an integer number (10497336850).

Almost surely, 2385031760012 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 385031760012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503872168800).

385031760012 is an abundant number, since it is smaller than the sum of its proper divisors (622712577588).

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

385031760012 is a wasteful number, since it uses less digits than its factorization.

385031760012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 385031760012 its reverse (210067130583), we get a palindrome (595098890595).

The spelling of 385031760012 in words is "three hundred eighty-five billion, thirty-one million, seven hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 4973 5886 6577 9946 11772 13154 14919 19731 19892 26308 29838 39462 44757 59193 59676 78924 89514 118386 134271 177579 179028 236772 268542 355158 537084 542057 710316 716893 1084114 1433786 1626171 2150679 2168228 2867572 3252342 4301358 4878513 6452037 6504684 8602716 9757026 12904074 14635539 19356111 19514052 25808148 29271078 32707421 38712222 58542156 65414842 77424444 98122263 130829684 196244526 294366789 392489052 588733578 883100367 1177467156 1766200734 3532401468 3565108889 7130217778 10695326667 14260435556 21390653334 32085980001 42781306668 64171960002 96257940003 128343920004 192515880006 385031760012