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28452274164 = 223561541887
BaseRepresentation
bin11010011111111000…
…110011111111110100
32201102212222021200000
4122133320303333310
5431232240233124
621023142551300
72025034224426
oct323770637764
981385867600
1028452274164
1111080626776
125620738530
1328b58328b2
14153ca80816
15b17d036c9
hex69fe33ff4

28452274164 has 144 divisors (see below), whose sum is σ = 76033216896. Its totient is φ = 9300873600.

The previous prime is 28452274157. The next prime is 28452274229. The reversal of 28452274164 is 46147225482.

28452274164 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 227 + 416 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 32076529 + ... + 32077415.

Almost surely, 228452274164 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 28452274164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016608448).

28452274164 is an abundant number, since it is smaller than the sum of its proper divisors (47580942732).

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

28452274164 is a wasteful number, since it uses less digits than its factorization.

28452274164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1494 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 28452274164 in words is "twenty-eight billion, four hundred fifty-two million, two hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 541 549 732 887 972 1082 1098 1623 1647 1774 2164 2196 2661 3246 3294 3548 4869 4941 5322 6492 6588 7983 9738 9882 10644 14607 14823 15966 19476 19764 23949 29214 29646 31932 33001 43821 47898 54107 58428 59292 66002 71847 87642 95796 99003 108214 131463 132004 143694 162321 175284 198006 215541 216428 262926 287388 297009 324642 396012 431082 479867 486963 525852 594018 649284 862164 891027 959734 973926 1188036 1439601 1460889 1782054 1919468 1947852 2673081 2879202 2921778 3564108 4318803 4382667 5346162 5758404 5843556 8019243 8637606 8765334 10692324 12956409 13148001 16038486 17275212 17530668 25912818 26296002 29271887 32076972 38869227 51825636 52592004 58543774 77738454 87815661 116607681 117087548 155476908 175631322 233215362 263446983 351262644 466430724 526893966 790340949 1053787932 1580681898 2371022847 3161363796 4742045694 7113068541 9484091388 14226137082 28452274164