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56072270940 = 223572103185167
BaseRepresentation
bin110100001110001010…
…101111010001011100
312100201202212111101120
4310032022233101130
51404314000132230
641431555210540
74023344303400
oct641612572134
9170652774346
1056072270940
1121864376094
12aa4a5a6a50
135397ac0b5a
1429dcd93100
1516d2a06310
hexd0e2af45c

56072270940 has 144 divisors (see below), whose sum is σ = 184409551872. Its totient is φ = 12692018304.

The previous prime is 56072270921. The next prime is 56072270951. The reversal of 56072270940 is 4907227065.

56072270940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56072270892 and 56072270901.

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, 210237 + ... + 395403.

It is an arithmetic number, because the mean of its divisors is an integer number (1280621888).

Almost surely, 256072270940 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 56072270940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92204775936).

56072270940 is an abundant number, since it is smaller than the sum of its proper divisors (128337280932).

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

56072270940 is a wasteful number, since it uses less digits than its factorization.

56072270940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185296 (or 185287 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 56072270940 in words is "fifty-six billion, seventy-two million, two hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 103 105 140 147 196 206 210 245 294 309 412 420 490 515 588 618 721 735 980 1030 1236 1442 1470 1545 2060 2163 2884 2940 3090 3605 4326 5047 6180 7210 8652 10094 10815 14420 15141 20188 21630 25235 30282 43260 50470 60564 75705 100940 151410 185167 302820 370334 555501 740668 925835 1111002 1296169 1851670 2222004 2592338 2777505 3703340 3888507 5184676 5555010 6480845 7777014 9073183 11110020 12961690 15554028 18146366 19072201 19442535 25923380 27219549 36292732 38144402 38885070 45365915 54439098 57216603 76288804 77770140 90731830 95361005 108878196 114433206 133505407 136097745 181463660 190722010 228866412 267010814 272195490 286083015 381444020 400516221 534021628 544390980 572166030 667527035 801032442 934537849 1144332060 1335054070 1602064884 1869075698 2002581105 2670108140 2803613547 3738151396 4005162210 4672689245 5607227094 8010324420 9345378490 11214454188 14018067735 18690756980 28036135470 56072270940