Search a number
-
+
472653356274 = 233114340146147
BaseRepresentation
bin1101110000011000101…
…01011101110011110010
31200012000000200021102000
412320030111131303302
530220443224400044
61001044533434430
746101535145151
oct6701425356362
91605000607360
10472653356274
111724a65522a0
127772a79ba16
13357566ba898
1418c3b349598
15c464e28d69
hex6e0c55dcf2

472653356274 has 128 divisors (see below), whose sum is σ = 1175422786560. Its totient is φ = 139545504000.

The previous prime is 472653356243. The next prime is 472653356327.

472653356274 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 5 + 3 + 3 + 5 + 627 + 4 = 666.

472653356274 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 472653356274.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10219269 + ... + 10265415.

It is an arithmetic number, because the mean of its divisors is an integer number (9182990520).

Almost surely, 2472653356274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472653356274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587711393280).

472653356274 is an abundant number, since it is smaller than the sum of its proper divisors (702769430286).

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

472653356274 is a wasteful number, since it uses less digits than its factorization.

472653356274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46613 (or 46607 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 472653356274 in words is "four hundred seventy-two billion, six hundred fifty-three million, three hundred fifty-six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 401 473 594 774 802 946 1161 1203 1419 2322 2406 2838 3609 4257 4411 7218 8514 8822 10827 12771 13233 17243 21654 25542 26466 34486 39699 46147 51729 79398 92294 103458 119097 138441 155187 189673 238194 276882 310374 379346 415323 465561 507617 569019 830646 931122 1015234 1138038 1245969 1522851 1707057 1984321 2491938 3045702 3414114 3968642 4568553 5121171 5952963 9137106 10242342 11905926 13705659 17858889 18504947 21827531 27411318 35717778 37009894 43655062 53576667 55514841 65482593 107153334 111029682 130965186 166544523 196447779 203554417 333089046 392895558 407108834 499633569 589343337 610663251 795712721 999267138 1178686674 1221326502 1591425442 1831989753 2387138163 3663979506 4774276326 5495969259 7161414489 8752839931 10991938518 14322828978 17505679862 21484243467 26258519793 42968486934 52517039586 78775559379 157551118758 236326678137 472653356274