Search a number
-
+
42252654140536 = 23747103173900917
BaseRepresentation
bin10011001101101101101100…
…11100001101110001111000
312112121022111010010000202011
421212312312130031301320
521014231413424444121
6225510333520215304
711620440105233440
oct1146666634156170
9175538433100664
1042252654140536
1112510282813184
1248a4a2046a534
131a7653ca38878
14a6107a073120
154d414da3a7e1
hex266db670dc78

42252654140536 has 128 divisors (see below), whose sum is σ = 93905349857280. Its totient is φ = 17449460015616.

The previous prime is 42252654140531. The next prime is 42252654140549. The reversal of 42252654140536 is 63504145625224.

It is a self number, because there is not a number n which added to its sum of digits gives 42252654140536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252654140531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46449150 + ... + 47350066.

It is an arithmetic number, because the mean of its divisors is an integer number (733635545760).

Almost surely, 242252654140536 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 42252654140536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46952674928640).

42252654140536 is an abundant number, since it is smaller than the sum of its proper divisors (51652695716744).

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

42252654140536 is a wasteful number, since it uses less digits than its factorization.

42252654140536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901253 (or 901249 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 49.

The spelling of 42252654140536 in words is "forty-two trillion, two hundred fifty-two billion, six hundred fifty-four million, one hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 47 56 94 103 173 188 206 329 346 376 412 658 692 721 824 1211 1316 1384 1442 2422 2632 2884 4841 4844 5768 8131 9682 9688 16262 17819 19364 32524 33887 35638 38728 56917 65048 67774 71276 113834 124733 135548 142552 227668 249466 271096 455336 498932 837493 900917 997864 1674986 1801834 3349972 3603668 5862451 6306419 6699944 7207336 11724902 12612838 23449804 25225676 42343099 46899608 50451352 84686198 92794451 155858641 169372396 185588902 296401693 311717282 338744792 371177804 592803386 623434564 649561157 742355608 1091010487 1185606772 1246869128 1299122314 2182020974 2371213544 2598244628 4361339197 4364041948 5196489256 7325356127 8722678394 8728083896 14650712254 16053440023 17445356788 29301424508 30529374379 32106880046 34890713576 51277492889 58602849016 61058748758 64213760092 102554985778 112374080161 122117497516 128427520184 205109971556 224748160322 244234995032 410219943112 449496320644 754511681081 898992641288 1509023362162 3018046724324 5281581767567 6036093448648 10563163535134 21126327070268 42252654140536