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10334574272 = 2611109134677
BaseRepresentation
bin10011001111111110…
…10001011011000000
3222200020022202202002
421213333101123000
5132131122334042
64425253443132
7514046301101
oct114777213300
928606282662
1010334574272
114423663680
1220050404a8
13c89102309
147007763a8
1540744b132
hex267fd16c0

10334574272 has 56 divisors (see below), whose sum is σ = 22577419920. Its totient is φ = 4654402560.

The previous prime is 10334574247. The next prime is 10334574277. The reversal of 10334574272 is 27247543301.

It is not an unprimeable number, because it can be changed into a prime (10334574277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9398 + ... + 144074.

Almost surely, 210334574272 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 10334574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288709960).

10334574272 is an abundant number, since it is smaller than the sum of its proper divisors (12242845648).

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

10334574272 is a wasteful number, since it uses less digits than its factorization.

10334574272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134809 (or 134799 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 10334574272 in words is "ten billion, three hundred thirty-four million, five hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 176 218 352 436 704 872 1199 1744 2398 3488 4796 6976 9592 19184 38368 76736 134677 269354 538708 1077416 1481447 2154832 2962894 4309664 5925788 8619328 11851576 14679793 23703152 29359586 47406304 58719172 94812608 117438344 161477723 234876688 322955446 469753376 645910892 939506752 1291821784 2583643568 5167287136 10334574272