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42802914132 = 22331129733767
BaseRepresentation
bin100111110111010000…
…001010001101010100
311002111000020022212000
4213313100022031110
51200130021223012
631355142555300
73043460524056
oct476720121524
9132430208760
1042802914132
1117175146a00
128366738b30
134061990034
14210094d8d6
1511a7ae9ddc
hex9f740a354

42802914132 has 144 divisors (see below), whose sum is σ = 123236991360. Its totient is φ = 12836482560.

The previous prime is 42802914131. The next prime is 42802914169. The reversal of 42802914132 is 23141920824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42802914131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250713 + ... + 1284479.

It is an arithmetic number, because the mean of its divisors is an integer number (855812440).

Almost surely, 242802914132 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 42802914132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61618495680).

42802914132 is an abundant number, since it is smaller than the sum of its proper divisors (80434077228).

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

42802914132 is a wasteful number, since it uses less digits than its factorization.

42802914132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33899 (or 33880 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42802914132 in words is "forty-two billion, eight hundred two million, nine hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 97 99 108 121 132 194 198 242 291 297 363 388 396 484 582 594 726 873 1067 1089 1164 1188 1452 1746 2134 2178 2619 3201 3267 3492 4268 4356 5238 6402 6534 9603 10476 11737 12804 13068 19206 23474 28809 33767 35211 38412 46948 57618 67534 70422 101301 105633 115236 135068 140844 202602 211266 303903 316899 371437 405204 422532 607806 633798 742874 911709 1114311 1215612 1267596 1485748 1823418 2228622 3275399 3342933 3646836 4085807 4457244 6550798 6685866 8171614 9826197 10028799 12257421 13101596 13371732 16343228 19652394 20057598 24514842 29478591 36029389 36772263 39304788 40115196 49029684 58957182 72058778 73544526 88435773 108088167 110316789 117914364 144117556 147089052 176871546 216176334 220633578 324264501 353743092 396323279 432352668 441267156 648529002 792646558 972793503 1188969837 1297058004 1585293116 1945587006 2377939674 3566909511 3891174012 4755879348 7133819022 10700728533 14267638044 21401457066 42802914132