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33426370000 = 245431107827
BaseRepresentation
bin11111001000010111…
…011110110111010000
310012021112121112101201
4133020113132313100
51021424122320000
623204511040544
72262223312522
oct371027366720
9105245545351
1033426370000
11131a3350581
12658a510154
1331c91c187a
14189151ba12
15d0983e96a
hex7c85dedd0

33426370000 has 100 divisors (see below), whose sum is σ = 83539958656. Its totient is φ = 12939120000.

The previous prime is 33426369973. The next prime is 33426370001. The reversal of 33426370000 is 7362433.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×334263700002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33426370001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 256087 + ... + 363913.

Almost surely, 233426370000 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 33426370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41769979328).

33426370000 is an abundant number, since it is smaller than the sum of its proper divisors (50113588656).

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

33426370000 is a wasteful number, since it uses less digits than its factorization.

33426370000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107886 (or 107865 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The spelling of 33426370000 in words is "thirty-three billion, four hundred twenty-six million, three hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 77500 107827 155000 215654 310000 431308 539135 862616 1078270 1725232 2156540 2695675 3342637 4313080 5391350 6685274 8626160 10782700 13370548 13478375 16713185 21565400 26741096 26956750 33426370 43130800 53482192 53913500 66852740 67391875 83565925 107827000 133705480 134783750 167131850 215654000 267410960 269567500 334263700 417829625 539135000 668527400 835659250 1078270000 1337054800 1671318500 2089148125 3342637000 4178296250 6685274000 8356592500 16713185000 33426370000