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41997939816 = 23371729574973
BaseRepresentation
bin100111000111010001…
…011011010001101000
311000101220112101200110
4213013101123101220
51142002433033231
631143225334320
73014514412140
oct470721332150
9130356471613
1041997939816
11168a1818878
1281810373a0
133c63c87c81
142065a8b920
15115c0de046
hex9c745b468

41997939816 has 128 divisors (see below), whose sum is σ = 127121114880. Its totient is φ = 11287474176.

The previous prime is 41997939811. The next prime is 41997939839. The reversal of 41997939816 is 61893979914.

It is a super-2 number, since 2×419979398162 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41997939811) 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 31 ways as a sum of consecutive naturals, for example, 8442706 + ... + 8447678.

It is an arithmetic number, because the mean of its divisors is an integer number (993133710).

Almost surely, 241997939816 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 41997939816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63560557440).

41997939816 is an abundant number, since it is smaller than the sum of its proper divisors (85123175064).

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

41997939816 is a wasteful number, since it uses less digits than its factorization.

41997939816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7959 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 66.

The spelling of 41997939816 in words is "forty-one billion, nine hundred ninety-seven million, nine hundred thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 2957 4973 5914 8871 9946 11828 14919 17742 19892 20699 23656 29838 34811 35484 39784 41398 50269 59676 62097 69622 70968 82796 84541 100538 104433 119352 124194 139244 150807 165592 169082 201076 208866 248388 253623 278488 301614 338164 351883 402152 417732 496776 507246 591787 603228 676328 703766 835464 1014492 1055649 1183574 1206456 1407532 1775361 2028984 2111298 2367148 2815064 3550722 4222596 4734296 7101444 8445192 14202888 14705161 29410322 44115483 58820644 88230966 102936127 117641288 176461932 205872254 249987737 308808381 352923864 411744508 499975474 617616762 749963211 823489016 999950948 1235233524 1499926422 1749914159 1999901896 2470467048 2999852844 3499828318 5249742477 5999705688 6999656636 10499484954 13999313272 20998969908 41997939816