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172274062848 = 293532518431
BaseRepresentation
bin1010000001110001010…
…1011001011000000000
3121110200002001010220020
42200130111121120000
510310304130002343
6211050331013440
715306053241666
oct2403425313000
9543602033806
10172274062848
1167074243258
122947a29a280
131332611a5c4
1484a3ab2c36
1547342e6b83
hex281c559600

172274062848 has 160 divisors (see below), whose sum is σ = 469526948352. Its totient is φ = 56110080000.

The previous prime is 172274062847. The next prime is 172274062859. The reversal of 172274062848 is 848260472271.

It is a super-2 number, since 2×1722740628482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172274062848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172274062847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20429193 + ... + 20437623.

Almost surely, 2172274062848 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 172274062848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234763474176).

172274062848 is an abundant number, since it is smaller than the sum of its proper divisors (297252885504).

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

172274062848 is an equidigital number, since it uses as much as digits as its factorization.

172274062848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 172274062848 in words is "one hundred seventy-two billion, two hundred seventy-four million, sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 251 256 318 384 424 502 512 636 753 768 848 1004 1272 1506 1536 1696 2008 2544 3012 3392 4016 5088 6024 6784 8032 8431 10176 12048 13303 13568 16064 16862 20352 24096 25293 26606 27136 32128 33724 39909 40704 48192 50586 53212 64256 67448 79818 81408 96384 101172 106424 128512 134896 159636 192768 202344 212848 269792 319272 385536 404688 425696 446843 539584 638544 809376 851392 893686 1079168 1277088 1340529 1618752 1702784 1787372 2116181 2158336 2554176 2681058 3237504 3405568 3574744 4232362 4316672 5108352 5362116 6348543 6475008 6811136 7149488 8464724 10216704 10724232 12697086 12950016 14298976 16929448 20433408 21448464 25394172 28597952 33858896 42896928 50788344 57195904 67717792 85793856 101576688 112157593 114391808 135435584 171587712 203153376 224315186 228783616 270871168 336472779 343175424 406306752 448630372 541742336 672945558 686350848 812613504 897260744 1083484672 1345891116 1625227008 1794521488 2691782232 3250454016 3589042976 5383564464 7178085952 10767128928 14356171904 21534257856 28712343808 43068515712 57424687616 86137031424 172274062848