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42929435136 = 29374339221
BaseRepresentation
bin100111111110110010…
…110011001000000000
311002210211022021001010
4213332302303020000
51200404413411021
631415502440520
73046555115010
oct477662631000
9132724267033
1042929435136
111722a602015
1283a0b93140
134081c5b133
142113685c40
1511b3c8c976
hex9fecb3200

42929435136 has 160 divisors (see below), whose sum is σ = 131020864128. Its totient is φ = 12235898880.

The previous prime is 42929435119. The next prime is 42929435137. The reversal of 42929435136 is 63153492924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42929435137) 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 15 ways as a sum of consecutive naturals, for example, 4651006 + ... + 4660226.

Almost surely, 242929435136 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 42929435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65510432064).

42929435136 is an abundant number, since it is smaller than the sum of its proper divisors (88091428992).

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

42929435136 is an equidigital number, since it uses as much as digits as its factorization.

42929435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9666 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The spelling of 42929435136 in words is "forty-two billion, nine hundred twenty-nine million, four hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 433 448 512 672 768 866 896 1299 1344 1536 1732 1792 2598 2688 3031 3464 3584 5196 5376 6062 6928 9093 9221 10392 10752 12124 13856 18186 18442 20784 24248 27663 27712 36372 36884 41568 48496 55326 55424 64547 72744 73768 83136 96992 110652 110848 129094 145488 147536 166272 193641 193984 221304 221696 258188 290976 295072 332544 387282 387968 442608 516376 581952 590144 665088 774564 775936 885216 1032752 1163904 1180288 1549128 1551872 1770432 2065504 2327808 2360576 3098256 3540864 3992693 4131008 4655616 4721152 6196512 7081728 7985386 8262016 11978079 12393024 14163456 15970772 16524032 23956158 24786048 27948851 31941544 33048064 47912316 49572096 55897702 63883088 83846553 95824632 99144192 111795404 127766176 167693106 191649264 223590808 255532352 335386212 383298528 447181616 511064704 670772424 766597056 894363232 1022129408 1341544848 1533194112 1788726464 2044258816 2683089696 3066388224 3577452928 5366179392 6132776448 7154905856 10732358784 14309811712 21464717568 42929435136