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42473685312 = 263387728027
BaseRepresentation
bin100111100011101000…
…010000000101000000
311001122001201202211000
4213203220100011000
51143441230412222
631302342252000
73032352240222
oct474350200500
9131561652730
1042473685312
1117016319473
128294427000
13400b6ca296
1420acd2c412
151188c659ac
hex9e3a10140

42473685312 has 112 divisors (see below), whose sum is σ = 125011606720. Its totient is φ = 14141246976.

The previous prime is 42473685307. The next prime is 42473685347. The reversal of 42473685312 is 21358637424.

42473685312 is a `hidden beast` number, since 42 + 4 + 73 + 6 + 8 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501443 + ... + 1529469.

It is an arithmetic number, because the mean of its divisors is an integer number (1116175060).

Almost surely, 242473685312 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 42473685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62505803360).

42473685312 is an abundant number, since it is smaller than the sum of its proper divisors (82537921408).

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

42473685312 is a wasteful number, since it uses less digits than its factorization.

42473685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28925 (or 28909 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 42473685312 in words is "forty-two billion, four hundred seventy-three million, six hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 877 1728 1754 2631 3508 5262 7016 7893 10524 14032 15786 21048 23679 28027 28064 31572 42096 47358 56054 56128 63144 84081 84192 94716 112108 126288 168162 168384 189432 224216 252243 252576 336324 378864 448432 504486 505152 672648 756729 757728 896864 1008972 1345296 1513458 1515456 1793728 2017944 2690592 3026916 4035888 5381184 6053832 8071776 12107664 16143552 24215328 24579679 48430656 49159358 73739037 98318716 147478074 196637432 221217111 294956148 393274864 442434222 589912296 663651333 786549728 884868444 1179824592 1327302666 1573099456 1769736888 2359649184 2654605332 3539473776 4719298368 5309210664 7078947552 10618421328 14157895104 21236842656 42473685312