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252400700070 = 232583149226769
BaseRepresentation
bin1110101100010001000…
…0010000101010100110
3220010111020110001111200
43223010100100222212
513113404034400240
6311541250543330
724143503360221
oct3530420205246
9803436401450
10252400700070
11980516847a2
1240b00597b46
131aa5556138c
14c3055b45b8
15687397c930
hex3ac4410aa6

252400700070 has 96 divisors (see below), whose sum is σ = 668608668000. Its totient is φ = 66049354752.

The previous prime is 252400699933. The next prime is 252400700099. The reversal of 252400700070 is 70007004252.

252400700070 is a `hidden beast` number, since 2 + 524 + 0 + 0 + 70 + 0 + 0 + 70 = 666.

It is a super-2 number, since 2×2524007000702 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999646 + ... + 1226414.

It is an arithmetic number, because the mean of its divisors is an integer number (6964673625).

Almost surely, 2252400700070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252400700070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334304334000).

252400700070 is an abundant number, since it is smaller than the sum of its proper divisors (416207967930).

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

252400700070 is a wasteful number, since it uses less digits than its factorization.

252400700070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227014 (or 227011 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The spelling of 252400700070 in words is "two hundred fifty-two billion, four hundred million, seven hundred thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 149 166 249 298 415 447 498 745 747 830 894 1245 1341 1490 1494 2235 2490 2682 3735 4470 6705 7470 12367 13410 24734 37101 61835 74202 111303 123670 185505 222606 226769 371010 453538 556515 680307 1113030 1133845 1360614 2040921 2267690 3401535 4081842 6803070 10204605 18821827 20409210 33788581 37643654 56465481 67577162 94109135 101365743 112930962 168942905 169396443 188218270 202731486 282327405 304097229 337885810 338792886 506828715 564654810 608194458 846982215 1013657430 1520486145 1693964430 2804452223 3040972290 5608904446 8413356669 14022261115 16826713338 25240070007 28044522230 42066783345 50480140014 84133566690 126200350035 252400700070