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354201023052 = 22321910310974583
BaseRepresentation
bin1010010011110000000…
…01101011001001001100
31020212020212201021121100
411021320001223021030
521300400430214202
6430415005103100
734406301006612
oct5117001531114
91225225637540
10354201023052
11127241275128
1258791257a90
132752a044b96
14132017936b2
159330c8641c
hex527806b24c

354201023052 has 144 divisors (see below), whose sum is σ = 952690152960. Its totient is φ = 110641883904.

The previous prime is 354201023047. The next prime is 354201023069. The reversal of 354201023052 is 250320102453.

It is a happy number.

354201023052 is a `hidden beast` number, since 3 + 5 + 420 + 1 + 0 + 230 + 5 + 2 = 666.

It is a super-3 number, since 3×3542010230523 (a number of 36 digits) contains 333 as substring.

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, 77283553 + ... + 77288135.

It is an arithmetic number, because the mean of its divisors is an integer number (6615903840).

Almost surely, 2354201023052 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 354201023052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476345076480).

354201023052 is an abundant number, since it is smaller than the sum of its proper divisors (598489129908).

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

354201023052 is a wasteful number, since it uses less digits than its factorization.

354201023052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 354201023052 in words is "three hundred fifty-four billion, two hundred one million, twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 412 618 684 927 1097 1236 1854 1957 2194 3291 3708 3914 4388 4583 5871 6582 7828 9166 9873 11742 13164 13749 17613 18332 19746 20843 23484 27498 35226 39492 41247 41686 54996 62529 70452 82494 83372 87077 112991 125058 164988 174154 187587 225982 250116 261231 338973 348308 375174 451964 472049 522462 677946 750348 783693 944098 1016919 1044924 1355892 1416147 1567386 1888196 2033838 2146829 2832294 3134772 4067676 4248441 4293658 5027551 5664588 6440487 8496882 8587316 8968931 10055102 12880974 15082653 16993764 17937862 19321461 20110204 25761948 26906793 30165306 35875724 38642922 45247959 53813586 60330612 77285844 80720379 90495918 95523469 107627172 161440758 180991836 191046938 286570407 322881516 382093876 517837753 573140814 859711221 1035675506 1146281628 1553513259 1719422442 2071351012 3107026518 3438844884 4660539777 6214053036 9321079554 9838917307 18642159108 19677834614 29516751921 39355669228 59033503842 88550255763 118067007684 177100511526 354201023052