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5354131272 = 2337317314083
BaseRepresentation
bin1001111110010000…
…11000111101001000
3111211010202001100020
410333020120331020
541431124200042
62243141340440
7246452236110
oct47710307510
914733661306
105354131272
1122a82a4086
121055107720
13674330319
1438b126040
152150a93ec
hex13f218f48

5354131272 has 128 divisors (see below), whose sum is σ = 16008437760. Its totient is φ = 1460021760.

The previous prime is 5354131267. The next prime is 5354131313. The reversal of 5354131272 is 2721314535.

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, 373143 + ... + 387225.

It is an arithmetic number, because the mean of its divisors is an integer number (125065920).

Almost surely, 25354131272 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 5354131272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004218880).

5354131272 is an abundant number, since it is smaller than the sum of its proper divisors (10654306488).

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

5354131272 is a wasteful number, since it uses less digits than its factorization.

5354131272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14203 (or 14199 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 5354131272 is about 73171.9295358541. The cubic root of 5354131272 is about 1749.4290678506.

The spelling of 5354131272 in words is "five billion, three hundred fifty-four million, one hundred thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 124 146 168 186 217 219 248 292 372 434 438 511 584 651 744 868 876 1022 1302 1533 1736 1752 2044 2263 2604 3066 4088 4526 5208 6132 6789 9052 12264 13578 14083 15841 18104 27156 28166 31682 42249 47523 54312 56332 63364 84498 95046 98581 112664 126728 168996 190092 197162 295743 337992 380184 394324 436573 591486 788648 873146 1028059 1182972 1309719 1746292 2056118 2365944 2619438 3056011 3084177 3492584 4112236 5238876 6112022 6168354 7196413 8224472 9168033 10477752 12224044 12336708 14392826 18336066 21589239 24448088 24673416 28785652 31869829 36672132 43178478 57571304 63739658 73344264 86356956 95609487 127479316 172713912 191218974 223088803 254958632 382437948 446177606 669266409 764875896 892355212 1338532818 1784710424 2677065636 5354131272