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151221401352 = 23327265472
BaseRepresentation
bin1000110011010101111…
…1110111011100001000
3112110022212202010112200
42030311133313130020
54434200134320402
6153245315240200
713632256463100
oct2146537673410
9473285663480
10151221401352
11591505a205a
12253838a9060
131134c627b58
147467a92200
153e00e4621c
hex23357f7708

151221401352 has 108 divisors (see below), whose sum is σ = 476497349055. Its totient is φ = 43199515296.

The previous prime is 151221401329. The next prime is 151221401369. The reversal of 151221401352 is 253104122151.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

151221401352 is a `hidden beast` number, since 1 + 5 + 1 + 221 + 401 + 35 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75610700676 + 75610700676 = 274974^2 + 274974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=274974.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23094543 + ... + 23101089.

Almost surely, 2151221401352 is an apocalyptic number.

151221401352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151221401352

151221401352 is an abundant number, since it is smaller than the sum of its proper divisors (325275947703).

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

151221401352 is an frugal number, since it uses more digits than its factorization.

151221401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 151221401352 in words is "one hundred fifty-one billion, two hundred twenty-one million, four hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6547 13094 19641 26188 39282 45829 52376 58923 78564 91658 117846 137487 157128 183316 235692 274974 320803 366632 412461 471384 549948 641606 824922 962409 1099896 1283212 1649844 1924818 2566424 2887227 3299688 3849636 5774454 7699272 11548908 23097816 42863209 85726418 128589627 171452836 257179254 300042463 342905672 385768881 514358508 600084926 771537762 900127389 1028717016 1200169852 1543075524 1800254778 2100297241 2400339704 2700382167 3086151048 3600509556 4200594482 5400764334 6300891723 7201019112 8401188964 10801528668 12601783446 16802377928 18902675169 21603057336 25203566892 37805350338 50407133784 75610700676 151221401352