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42893023536 = 24321170138629
BaseRepresentation
bin100111111100100111…
…111001100100110000
311002201021210100201100
4213330213321210300
51200321103223121
631412122204400
73045633453516
oct477447714460
9132637710640
1042893023536
1117210aa2490
128390953700
13407754c9cc
14210c8c84b6
1511b0999026
hex9fc9f9930

42893023536 has 120 divisors (see below), whose sum is σ = 131143905360. Its totient is φ = 12979008000.

The previous prime is 42893023529. The next prime is 42893023567. The reversal of 42893023536 is 63532039824.

42893023536 is a `hidden beast` number, since 4 + 2 + 8 + 93 + 0 + 23 + 536 = 666.

It is a super-2 number, since 2×428930235362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42893023491 and 42893023500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091070 + ... + 1129698.

It is an arithmetic number, because the mean of its divisors is an integer number (1092865878).

Almost surely, 242893023536 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 42893023536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65571952680).

42893023536 is an abundant number, since it is smaller than the sum of its proper divisors (88250881824).

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

42893023536 is a wasteful number, since it uses less digits than its factorization.

42893023536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39355 (or 39346 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 42893023536 in words is "forty-two billion, eight hundred ninety-three million, twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 701 792 1402 1584 2103 2804 4206 5608 6309 7711 8412 11216 12618 15422 16824 23133 25236 30844 33648 38629 46266 50472 61688 69399 77258 92532 100944 115887 123376 138798 154516 185064 231774 277596 309032 347661 370128 424919 463548 555192 618064 695322 849838 927096 1110384 1274757 1390644 1699676 1854192 2549514 2781288 3399352 3824271 5099028 5562576 6798704 7648542 10198056 15297084 20396112 27078929 30594168 54157858 61188336 81236787 108315716 162473574 216631432 243710361 297868219 324947148 433262864 487420722 595736438 649894296 893604657 974841444 1191472876 1299788592 1787209314 1949682888 2382945752 2680813971 3574418628 3899365776 4765891504 5361627942 7148837256 10723255884 14297674512 21446511768 42893023536