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3385203153792 = 27333726159149
BaseRepresentation
bin110001010000101101110…
…101001101101110000000
3102222121210121221222100220
4301100231311031232000
5420430344001410132
611111050231543040
7466400330016555
oct61205565155600
912877717858326
103385203153792
111095724a23559
124680a982aa80
131b72b9741b35
14b9bb7c38a2c
155d0cc0a6a2c
hex3142dd4db80

3385203153792 has 64 divisors (see below), whose sum is σ = 9018628554000. Its totient is φ = 1125052637184.

The previous prime is 3385203153769. The next prime is 3385203153833. The reversal of 3385203153792 is 2973513025833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33852031537922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12950167 + ... + 13208982.

Almost surely, 23385203153792 is an apocalyptic number.

3385203153792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3385203153792 is an abundant number, since it is smaller than the sum of its proper divisors (5633425400208).

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

3385203153792 is a wasteful number, since it uses less digits than its factorization.

3385203153792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26159503 (or 26159491 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 3385203153792 in words is "three trillion, three hundred eighty-five billion, two hundred three million, one hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 337 384 674 1011 1348 2022 2696 4044 5392 8088 10784 16176 21568 32352 43136 64704 129408 26159149 52318298 78477447 104636596 156954894 209273192 313909788 418546384 627819576 837092768 1255639152 1674185536 2511278304 3348371072 5022556608 8815633213 10045113216 17631266426 26446899639 35262532852 52893799278 70525065704 105787598556 141050131408 211575197112 282100262816 423150394224 564200525632 846300788448 1128401051264 1692601576896 3385203153792