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1335620203372 = 22713171613133813
BaseRepresentation
bin10011011011111001001…
…010101111001101101100
311201200110200001021020201
4103123321022233031230
5133340322233001442
62501324144123244
7165331625260660
oct23337112571554
94650420037221
101335620203372
114754848701a4
12196a28606524
1398c4396b860
14489041ba8a0
1524b211647b7
hex136f92af36c

1335620203372 has 96 divisors (see below), whose sum is σ = 3047850433152. Its totient is φ = 496984190976.

The previous prime is 1335620203369. The next prime is 1335620203373. The reversal of 1335620203372 is 2733020265331.

It is a super-3 number, since 3×13356202033723 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1335620203373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9914338 + ... + 10048150.

It is an arithmetic number, because the mean of its divisors is an integer number (31748442012).

Almost surely, 21335620203372 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 1335620203372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523925216576).

1335620203372 is an abundant number, since it is smaller than the sum of its proper divisors (1712230229780).

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

1335620203372 is a wasteful number, since it uses less digits than its factorization.

1335620203372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135467 (or 135465 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 1335620203372 in words is "one trillion, three hundred thirty-five billion, six hundred twenty million, two hundred three thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 1613 3094 3226 6188 6452 11291 20969 22582 27421 41938 45164 54842 83876 109684 133813 146783 191947 267626 293566 356473 383894 535252 587132 712946 767788 936691 1425892 1739569 1873382 2274821 2495311 3479138 3746764 4549642 4990622 6958276 9099284 9981244 12176983 15923747 24353966 29572673 31847494 48707932 59145346 63694988 118290692 207008711 215840369 414017422 431680738 828034844 863361476 1510882583 2805924797 3021765166 3669286273 5611849594 6043530332 7338572546 11223699188 14677145092 19641473579 25685003911 39282947158 47700721549 51370007822 78565894316 95401443098 102740015644 190802886196 333905050843 667810101686 1335620203372