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42945930756 = 22342923972
BaseRepresentation
bin100111111111110001…
…101110011000000100
311002211222100022210000
4213333301232120010
51200423124241011
631421252201300
73050145250131
oct477761563004
9132758308700
1042945930756
1117238949463
1283a6609230
1340854b5461
14211593b588
1511b544a356
hex9ffc6e604

42945930756 has 135 divisors (see below), whose sum is σ = 116567610159. Its totient is φ = 13786863552.

The previous prime is 42945930751. The next prime is 42945930761. The reversal of 42945930756 is 65703954924.

The square root of 42945930756 is 207234.

It is a perfect power (a square), and thus also a powerful number.

42945930756 is a `hidden beast` number, since 42 + 9 + 4 + 593 + 0 + 7 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42945930751) and next prime (42945930761).

It can be written as a sum of positive squares in 4 ways, for example, as 1662192900 + 41283737856 = 40770^2 + 203184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42945930751) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108175950 + ... + 108176346.

Almost surely, 242945930756 is an apocalyptic number.

42945930756 is the 207234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42945930756

42945930756 is an abundant number, since it is smaller than the sum of its proper divisors (73621679403).

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

42945930756 is an equidigital number, since it uses as much as digits as its factorization.

42945930756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 42945930756 in words is "forty-two billion, nine hundred forty-five million, nine hundred thirty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 397 522 783 794 841 1044 1191 1566 1588 1682 2349 2382 2523 3132 3364 3573 4698 4764 5046 7146 7569 9396 10092 10719 11513 14292 15138 21438 22707 23026 30276 32157 34539 42876 45414 46052 64314 68121 69078 90828 103617 128628 136242 138156 157609 207234 272484 310851 315218 333877 414468 472827 621702 630436 667754 932553 945654 1001631 1243404 1335508 1418481 1865106 1891308 2003262 2836962 3004893 3730212 4006524 4255443 4570661 5673924 6009786 8510886 9014679 9141322 12019572 12766329 13711983 17021772 18029358 18282644 25532658 27044037 27423966 36058716 41135949 51065316 54088074 54847932 82271898 108176148 123407847 132549169 164543796 246815694 265098338 370223541 397647507 493631388 530196676 740447082 795295014 1192942521 1480894164 1590590028 2385885042 3578827563 4771770084 7157655126 10736482689 14315310252 21472965378 42945930756