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42912195984 = 2433729489329
BaseRepresentation
bin100111111101110001…
…000010010110010000
311002202121212102101000
4213331301002112100
51200341010232414
631414045142000
73046255435050
oct477561022620
9132677772330
1042912195984
11172208a7a89
12839725a900
13407b503558
142111279560
1511b24d4b09
hex9fdc42590

42912195984 has 160 divisors (see below), whose sum is σ = 145624608000. Its totient is φ = 11837822976.

The previous prime is 42912195967. The next prime is 42912196057. The reversal of 42912195984 is 48959121924.

42912195984 is a `hidden beast` number, since 4 + 29 + 1 + 21 + 9 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42912195984.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 156969 + ... + 332360.

It is an arithmetic number, because the mean of its divisors is an integer number (910153800).

Almost surely, 242912195984 is an apocalyptic number.

It is an amenable number.

42912195984 is an abundant number, since it is smaller than the sum of its proper divisors (102712412016).

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

42912195984 is a wasteful number, since it uses less digits than its factorization.

42912195984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489382 (or 489370 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 42912195984 in words is "forty-two billion, nine hundred twelve million, one hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 87696 489329 978658 1467987 1957316 2935974 3425303 3914632 4403961 5871948 6850606 7829264 8807922 10275909 11743896 13211883 13701212 14190541 17615844 20551818 23487792 26423766 27402424 28381082 30827727 35231688 41103636 42571623 52847532 54804848 56762164 61655454 70463376 82207272 85143246 92483181 99333787 105695064 113524328 123310908 127714869 164414544 170286492 184966362 198667574 211390128 227048656 246621816 255429738 298001361 340572984 369932724 383144607 397335148 493243632 510859476 596002722 681145968 739865448 766289214 794670296 894004083 1021718952 1192005444 1479730896 1532578428 1589340592 1788008166 2043437904 2384010888 2682012249 3065156856 3576016332 4768021776 5364024498 6130313712 7152032664 10728048996 14304065328 21456097992 42912195984