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42630880080 = 24353110753551
BaseRepresentation
bin100111101100111111…
…111001101101010000
311002001000112002111110
4213230333321231100
51144302001130310
631330115413320
73036301334055
oct475477715520
9132030462443
1042630880080
11170970251a8
128318bb4240
134035147c39
1420c5b6b02c
151197966d20
hex9ecff9b50

42630880080 has 160 divisors (see below), whose sum is σ = 137696329728. Its totient is φ = 10898496000.

The previous prime is 42630880043. The next prime is 42630880151. The reversal of 42630880080 is 8008803624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769305 + ... + 822855.

Almost surely, 242630880080 is an apocalyptic number.

42630880080 is a gapful number since it is divisible by the number (40) 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 42630880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68848164864).

42630880080 is an abundant number, since it is smaller than the sum of its proper divisors (95065449648).

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

42630880080 is a wasteful number, since it uses less digits than its factorization.

42630880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53705 (or 53699 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 42630880080 in words is "forty-two billion, six hundred thirty million, eight hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 107 120 124 155 186 214 240 248 310 321 372 428 465 496 535 620 642 744 856 930 1070 1240 1284 1488 1605 1712 1860 2140 2480 2568 3210 3317 3720 4280 5136 6420 6634 7440 8560 9951 12840 13268 16585 19902 25680 26536 33170 39804 49755 53072 53551 66340 79608 99510 107102 132680 159216 160653 199020 214204 265360 267755 321306 398040 428408 535510 642612 796080 803265 856816 1071020 1285224 1606530 1660081 2142040 2570448 3213060 3320162 4284080 4980243 5729957 6426120 6640324 8300405 9960486 11459914 12852240 13280648 16600810 17189871 19920972 22919828 24901215 26561296 28649785 33201620 34379742 39841944 45839656 49802430 57299570 66403240 68759484 79683888 85949355 91679312 99604860 114599140 132806480 137518968 171898710 177628667 199209720 229198280 275037936 343797420 355257334 398419440 458396560 532886001 687594840 710514668 888143335 1065772002 1375189680 1421029336 1776286670 2131544004 2664430005 2842058672 3552573340 4263088008 5328860010 7105146680 8526176016 10657720020 14210293360 21315440040 42630880080