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49226141472 = 2533728514861
BaseRepresentation
bin101101110110000110…
…110100111100100000
311201001122200002021220
4231312012310330200
51301303343011342
634340355015040
73361604204304
oct556606647440
9151048602256
1049226141472
1119970967752
12965989a480
134846640781
14254da4bd04
1514319835ec
hexb761b4f20

49226141472 has 96 divisors (see below), whose sum is σ = 132784876224. Its totient is φ = 15956352000.

The previous prime is 49226141453. The next prime is 49226141501. The reversal of 49226141472 is 27414162294.

49226141472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10124322 + ... + 10129182.

It is an arithmetic number, because the mean of its divisors is an integer number (1383175794).

Almost surely, 249226141472 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 49226141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66392438112).

49226141472 is an abundant number, since it is smaller than the sum of its proper divisors (83558734752).

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

49226141472 is a wasteful number, since it uses less digits than its factorization.

49226141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7754 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 49226141472 in words is "forty-nine billion, two hundred twenty-six million, one hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 2851 3552 4861 5702 8553 9722 11404 14583 17106 19444 22808 29166 34212 38888 45616 58332 68424 77776 91232 105487 116664 136848 155552 179857 210974 233328 273696 316461 359714 421948 466656 539571 632922 719428 843896 1079142 1265844 1438856 1687792 2158284 2531688 2877712 3375584 4316568 5063376 5755424 8633136 10126752 13858711 17266272 27717422 41576133 55434844 83152266 110869688 166304532 221739376 332609064 443478752 512772307 665218128 1025544614 1330436256 1538316921 2051089228 3076633842 4102178456 6153267684 8204356912 12306535368 16408713824 24613070736 49226141472