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5954193312 = 253318112467
BaseRepresentation
bin1011000101110010…
…11100011110100000
3120100221212100201020
411202321130132200
544143233141222
62422455005440
7300356544114
oct54271343640
916327770636
105954193312
112585a94621
1211a2069880
1373b74b212
14406ac7744
1524cada65c
hex162e5c7a0

5954193312 has 96 divisors (see below), whose sum is σ = 16160385024. Its totient is φ = 1917561600.

The previous prime is 5954193299. The next prime is 5954193313. The reversal of 5954193312 is 2133914595.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5954193313) 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, 2412303 + ... + 2414769.

It is an arithmetic number, because the mean of its divisors is an integer number (168337344).

Almost surely, 25954193312 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 5954193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080192512).

5954193312 is an abundant number, since it is smaller than the sum of its proper divisors (10206191712).

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

5954193312 is a wasteful number, since it uses less digits than its factorization.

5954193312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3314 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 5954193312 is about 77163.4195198735. The cubic root of 5954193312 is about 1812.4845372728.

The spelling of 5954193312 in words is "five billion, nine hundred fifty-four million, one hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 811 992 1488 1622 2433 2467 2976 3244 4866 4934 6488 7401 9732 9868 12976 14802 19464 19736 25141 25952 29604 38928 39472 50282 59208 75423 76477 77856 78944 100564 118416 150846 152954 201128 229431 236832 301692 305908 402256 458862 603384 611816 804512 917724 1206768 1223632 1835448 2000737 2413536 2447264 3670896 4001474 6002211 7341792 8002948 12004422 16005896 24008844 32011792 48017688 62022847 64023584 96035376 124045694 186068541 192070752 248091388 372137082 496182776 744274164 992365552 1488548328 1984731104 2977096656 5954193312