Search a number
-
+
37145289216 = 293731111443
BaseRepresentation
bin100010100110000010…
…000010001000000000
310112212201102012111110
4202212002002020000
51102033143223331
625021520243320
72453331514560
oct424602021000
9115781365443
1037145289216
1114831602632
127247a70540
13366c80a999
141b253c4da0
15e76091946
hex8a6082200

37145289216 has 160 divisors (see below), whose sum is σ = 116743385088. Its totient is φ = 10270494720.

The previous prime is 37145289211. The next prime is 37145289227. The reversal of 37145289216 is 61298254173.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (37145289211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277591 + ... + 389033.

Almost surely, 237145289216 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 37145289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58371692544).

37145289216 is an abundant number, since it is smaller than the sum of its proper divisors (79598095872).

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

37145289216 is a wasteful number, since it uses less digits than its factorization.

37145289216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111502 (or 111486 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 37145289216 in words is "thirty-seven billion, one hundred forty-five million, two hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10416 10752 11904 13888 15872 20832 23808 27776 41664 47616 55552 83328 111104 111443 166656 222886 333312 334329 445772 668658 780101 891544 1337316 1560202 1783088 2340303 2674632 3120404 3454733 3566176 4680606 5349264 6240808 6909466 7132352 9361212 10364199 10698528 12481616 13818932 14264704 18722424 20728398 21397056 24183131 24963232 27637864 28529408 37444848 41456796 42794112 48366262 49926464 55275728 57058816 72549393 74889696 82913592 85588224 96732524 99852928 110551456 145098786 149779392 165827184 171176448 193465048 199705856 221102912 290197572 299558784 331654368 386930096 399411712 442205824 580395144 599117568 663308736 773860192 884411648 1160790288 1198235136 1326617472 1547720384 1768823296 2321580576 2653234944 3095440768 4643161152 5306469888 6190881536 9286322304 12381763072 18572644608 37145289216