Search a number
-
+
36346531648 = 267253218681
BaseRepresentation
bin100001110110011011…
…000000111101000000
310110211001102010002211
4201312123000331000
51043414203003043
624410344151504
72424462264400
oct416633007500
9113731363084
1036346531648
1114461740209
127064468594
1335731a147b
141a8b2a0800
15e2adb2a9d
hex8766c0f40

36346531648 has 84 divisors (see below), whose sum is σ = 85484105892. Its totient is φ = 15283107840.

The previous prime is 36346531531. The next prime is 36346531679. The reversal of 36346531648 is 84613564363.

It can be written as a sum of positive squares in 2 ways, for example, as 9571100224 + 26775431424 = 97832^2 + 163632^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56868 + ... + 275548.

Almost surely, 236346531648 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 36346531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42742052946).

36346531648 is an abundant number, since it is smaller than the sum of its proper divisors (49137574244).

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

36346531648 is a wasteful number, since it uses less digits than its factorization.

36346531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218760 (or 218743 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 49.

The spelling of 36346531648 in words is "thirty-six billion, three hundred forty-six million, five hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 196 212 224 371 392 424 448 742 784 848 1484 1568 1696 2597 2968 3136 3392 5194 5936 10388 11872 20776 23744 41552 83104 166208 218681 437362 874724 1530767 1749448 3061534 3498896 6123068 6997792 10715369 11590093 12246136 13995584 21430738 23180186 24492272 42861476 46360372 48984544 81130651 85722952 92720744 97969088 162261302 171445904 185441488 324522604 342891808 370882976 567914557 649045208 685783616 741765952 1135829114 1298090416 2271658228 2596180832 4543316456 5192361664 9086632912 18173265824 36346531648