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661554036 = 223211131071201
BaseRepresentation
bin100111011011101…
…000001101110100
31201002211102112100
4213123220031310
52323324212121
6145351222100
722252054653
oct4733501564
91632742470
10661554036
1130a480380
12165677930
13a709acc0
1463c0b19a
153d12b026
hex276e8374

661554036 has 144 divisors (see below), whose sum is σ = 1984627008. Its totient is φ = 183168000.

The previous prime is 661554001. The next prime is 661554041. The reversal of 661554036 is 630455166.

661554036 is a `hidden beast` number, since 6 + 615 + 5 + 4 + 0 + 36 = 666.

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

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, 550236 + ... + 551436.

It is an arithmetic number, because the mean of its divisors is an integer number (13782132).

Almost surely, 2661554036 is an apocalyptic number.

661554036 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661554036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992313504).

661554036 is an abundant number, since it is smaller than the sum of its proper divisors (1323072972).

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

661554036 is a wasteful number, since it uses less digits than its factorization.

661554036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 661554036 is about 25720.6927589441. The cubic root of 661554036 is about 871.3415845243.

The spelling of 661554036 in words is "six hundred sixty-one million, five hundred fifty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 107 117 132 143 156 198 214 234 286 321 396 428 429 468 572 642 858 963 1177 1201 1284 1287 1391 1716 1926 2354 2402 2574 2782 3531 3603 3852 4173 4708 4804 5148 5564 7062 7206 8346 10593 10809 12519 13211 14124 14412 15301 15613 16692 21186 21618 25038 26422 30602 31226 39633 42372 43236 45903 46839 50076 52844 61204 62452 79266 91806 93678 118899 128507 137709 140517 158532 171743 183612 187356 237798 257014 275418 281034 343486 385521 475596 514028 515229 550836 562068 686972 771042 1030458 1156563 1413577 1542084 1545687 1670591 2060916 2313126 2827154 3091374 3341182 4240731 4626252 5011773 5654308 6182748 6682364 8481462 10023546 12722193 15035319 16962924 18376501 20047092 25444386 30070638 36753002 50888772 55129503 60141276 73506004 110259006 165388509 220518012 330777018 661554036