Search a number
-
+
151150766687244 = 223337238915833201
BaseRepresentation
bin100010010111100010000111…
…110000011000010000001100
3201211011212112211000110222000
4202113202013300120100030
5124302423232232442434
61253245411551552300
743560165622203432
oct4227420760302014
9654155484013860
10151150766687244
1144185753336825
1214b52045b2b690
1366455c11a1c9c
142947a43d8ad52
151271ba1c1bb99
hex897887c1840c

151150766687244 has 96 divisors (see below), whose sum is σ = 402631993579200. Its totient is φ = 49001347353600.

The previous prime is 151150766687237. The next prime is 151150766687293. The reversal of 151150766687244 is 442786667051151.

It is a super-2 number, since 2×1511507666872442 (a number of 29 digits) contains 22 as substring.

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, 1629844 + ... + 17463044.

It is an arithmetic number, because the mean of its divisors is an integer number (4194083266450).

Almost surely, 2151150766687244 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 151150766687244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201315996789600).

151150766687244 is an abundant number, since it is smaller than the sum of its proper divisors (251481226891956).

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

151150766687244 is a wasteful number, since it uses less digits than its factorization.

151150766687244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15835640 (or 15835632 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 151150766687244 in words is "one hundred fifty-one trillion, one hundred fifty billion, seven hundred sixty-six million, six hundred eighty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2389 3996 4778 7167 9556 14334 21501 28668 43002 64503 86004 88393 129006 176786 258012 265179 353572 530358 795537 1060716 1591074 2386611 3182148 4773222 9546444 15833201 31666402 47499603 63332804 94999206 142498809 189998412 284997618 427496427 569995236 585828437 854992854 1171656874 1709985708 1757485311 2343313748 3514970622 5272455933 7029941244 10544911866 15817367799 21089823732 31634735598 37825517189 63269471196 75651034378 113476551567 151302068756 226953103134 340429654701 453906206268 680859309402 1021288964103 1361718618804 1399544135993 2042577928206 2799088271986 4085155856412 4198632407979 5598176543972 8397264815958 12595897223937 16794529631916 25191794447874 37787691671811 50383588895748 75575383343622 151150766687244