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42794697100 = 225231411093089
BaseRepresentation
bin100111110110110000…
…110100000110001100
311002110102202212012111
4213312300310012030
51200120420301400
631354250513404
73043330631521
oct476660640614
9132412685174
1042794697100
1117170544371
128363a35864
134060073b9c
1420dd811148
1511a70253ba
hex9f6c3418c

42794697100 has 144 divisors (see below), whose sum is σ = 99131155200. Its totient is φ = 16008192000.

The previous prime is 42794697079. The next prime is 42794697103. The reversal of 42794697100 is 179649724.

It is not an unprimeable number, because it can be changed into a prime (42794697103) 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 47 ways as a sum of consecutive naturals, for example, 13852356 + ... + 13855444.

It is an arithmetic number, because the mean of its divisors is an integer number (688410800).

Almost surely, 242794697100 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 42794697100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49565577600).

42794697100 is an abundant number, since it is smaller than the sum of its proper divisors (56336458100).

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

42794697100 is a wasteful number, since it uses less digits than its factorization.

42794697100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 42794697100 in words is "forty-two billion, seven hundred ninety-four million, six hundred ninety-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 109 124 155 164 205 218 310 410 436 545 620 775 820 1025 1090 1271 1550 2050 2180 2542 2725 3089 3100 3379 4100 4469 5084 5450 6178 6355 6758 8938 10900 12356 12710 13516 15445 16895 17876 22345 25420 30890 31775 33790 44690 61780 63550 67580 77225 84475 89380 95759 111725 126649 127100 138539 154450 168950 191518 223450 253298 277078 308900 336701 337900 383036 446900 478795 506596 554156 633245 673402 692695 957590 1266490 1346804 1385390 1683505 1915180 2393975 2532980 2770780 3166225 3367010 3463475 3926119 4787950 6332450 6734020 6926950 7852238 8417525 9575900 10437731 12664900 13804741 13853900 15704476 16835050 19630595 20875462 27609482 33670100 39261190 41750924 52188655 55218964 69023705 78522380 98152975 104377310 138047410 196305950 208754620 260943275 276094820 345118525 392611900 427946971 521886550 690237050 855893942 1043773100 1380474100 1711787884 2139734855 4279469710 8558939420 10698674275 21397348550 42794697100