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38165200896 = 21431940867
BaseRepresentation
bin100011100010110100…
…101100000000000000
310122111210120002022010
4203202310230000000
51111130242412041
625311032412520
72520524566164
oct434264540000
9118453502263
1038165200896
1115205296349
127491547140
1337a2bca014
141bc0a36ca4
15ed58a7a16
hex8e2d2c000

38165200896 has 120 divisors (see below), whose sum is σ = 107129740480. Its totient is φ = 12051873792.

The previous prime is 38165200847. The next prime is 38165200907. The reversal of 38165200896 is 69800256183.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913455 + ... + 954321.

Almost surely, 238165200896 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 38165200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53564870240).

38165200896 is an abundant number, since it is smaller than the sum of its proper divisors (68964539584).

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

38165200896 is an equidigital number, since it uses as much as digits as its factorization.

38165200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40917 (or 40891 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 38165200896 in words is "thirty-eight billion, one hundred sixty-five million, two hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 8192 9728 12288 14592 16384 19456 24576 29184 38912 40867 49152 58368 77824 81734 116736 122601 155648 163468 233472 245202 311296 326936 466944 490404 653872 776473 933888 980808 1307744 1552946 1961616 2329419 2615488 3105892 3923232 4658838 5230976 6211784 7846464 9317676 10461952 12423568 15692928 18635352 20923904 24847136 31385856 37270704 41847808 49694272 62771712 74541408 83695616 99388544 125543424 149082816 167391232 198777088 251086848 298165632 334782464 397554176 502173696 596331264 669564928 795108352 1004347392 1192662528 1590216704 2008694784 2385325056 3180433408 4770650112 6360866816 9541300224 12721733632 19082600448 38165200896