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35050077090 = 23257409136027
BaseRepresentation
bin100000101001001001…
…011011101110100010
310100110200220101210100
4200221021123232202
51033240304431330
624033552443230
72350400511450
oct405111335642
9110420811710
1035050077090
1113956944766
126962249516
1333c77081b2
1419a70239d0
15da2173060
hex82925bba2

35050077090 has 96 divisors (see below), whose sum is σ = 104404210560. Its totient is φ = 7991799552.

The previous prime is 35050077079. The next prime is 35050077137. The reversal of 35050077090 is 9077005053.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189657 + ... + 325683.

It is an arithmetic number, because the mean of its divisors is an integer number (1087543860).

Almost surely, 235050077090 is an apocalyptic number.

35050077090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35050077090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52202105280).

35050077090 is an abundant number, since it is smaller than the sum of its proper divisors (69354133470).

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

35050077090 is a wasteful number, since it uses less digits than its factorization.

35050077090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136456 (or 136453 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The spelling of 35050077090 in words is "thirty-five billion, fifty million, seventy-seven thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 409 630 818 1227 2045 2454 2863 3681 4090 5726 6135 7362 8589 12270 14315 17178 18405 25767 28630 36810 42945 51534 85890 128835 136027 257670 272054 408081 680135 816162 952189 1224243 1360270 1904378 2040405 2448486 2856567 4080810 4760945 5713134 6121215 8569701 9521890 12242430 14282835 17139402 28565670 42848505 55635043 85697010 111270086 166905129 278175215 333810258 389445301 500715387 556350430 778890602 834525645 1001430774 1168335903 1669051290 1947226505 2336671806 2503576935 3505007709 3894453010 5007153870 5841679515 7010015418 11683359030 17525038545 35050077090