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33116442436 = 22721130750033
BaseRepresentation
bin11110110101111001…
…001100111101000100
310011110221102120201001
4132311321030331010
51020310302124221
623114040143044
72251441054600
oct366571147504
9104427376631
1033116442436
11130544063a0
126502767a84
133179c2918c
1418622c2500
15cdc51e391
hex7b5e4cf44

33116442436 has 72 divisors (see below), whose sum is σ = 73785339936. Its totient is φ = 12860225280.

The previous prime is 33116442427. The next prime is 33116442449. The reversal of 33116442436 is 63424461133.

It is a super-2 number, since 2×331164424362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33116442395 and 33116442404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636876 + ... + 686908.

It is an arithmetic number, because the mean of its divisors is an integer number (1024796388).

Almost surely, 233116442436 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 33116442436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892669968).

33116442436 is an abundant number, since it is smaller than the sum of its proper divisors (40668897500).

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

33116442436 is a wasteful number, since it uses less digits than its factorization.

33116442436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50369 (or 50360 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The spelling of 33116442436 in words is "thirty-three billion, one hundred sixteen million, four hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 307 308 539 614 1078 1228 2149 2156 3377 4298 6754 8596 13508 15043 23639 30086 47278 50033 60172 94556 100066 165473 200132 330946 350231 550363 661892 700462 1100726 1400924 2201452 2451617 3852541 4903234 7705082 9806468 15360131 15410164 26967787 30720262 53935574 61440524 107520917 107871148 168961441 215041834 337922882 430083668 675845764 752646419 1182730087 1505292838 2365460174 3010585676 4730920348 8279110609 16558221218 33116442436