Search a number
-
+
466549781016 = 2331131149382601
BaseRepresentation
bin1101100101000001000…
…10001011001000011000
31122121020122201112012010
412302200202023020120
530120443220443031
6554155140545520
745464352464124
oct6624042131030
91577218645163
10466549781016
1116a954208920
12765066b22a0
1334cc3028ba7
141881c898584
15c209182246
hex6ca088b218

466549781016 has 128 divisors (see below), whose sum is σ = 1322272512000. Its totient is φ = 135899520000.

The previous prime is 466549780993. The next prime is 466549781023. The reversal of 466549781016 is 610187945664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028116 + ... + 1410716.

It is an arithmetic number, because the mean of its divisors is an integer number (10330254000).

Almost surely, 2466549781016 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 466549781016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661136256000).

466549781016 is an abundant number, since it is smaller than the sum of its proper divisors (855722730984).

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

466549781016 is a wasteful number, since it uses less digits than its factorization.

466549781016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382801 (or 382797 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 466549781016 in words is "four hundred sixty-six billion, five hundred forty-nine million, seven hundred eighty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 149 186 248 264 298 341 372 447 596 682 744 894 1023 1192 1364 1639 1788 2046 2728 3278 3576 4092 4619 4917 6556 8184 9238 9834 13112 13857 18476 19668 27714 36952 39336 50809 55428 101618 110856 152427 203236 304854 382601 406472 609708 765202 1147803 1219416 1530404 2295606 3060808 4208611 4591212 8417222 9182424 11860631 12625833 16834444 23721262 25251666 33668888 35581893 47442524 50503332 57007549 71163786 94885048 101006664 114015098 130466941 142327572 171022647 228030196 260933882 284655144 342045294 391400823 456060392 521867764 627083039 684090588 782801646 1043735528 1254166078 1368181176 1565603292 1767234019 1881249117 2508332156 3131206584 3534468038 3762498234 5016664312 5301702057 7068936076 7524996468 10603404114 14137872152 15049992936 19439574209 21206808228 38879148418 42413616456 58318722627 77758296836 116637445254 155516593672 233274890508 466549781016