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331993435246040 = 235191232173545237
BaseRepresentation
bin100101101111100100011111…
…0110001101000110111011000
31121112111021002022202010211202
41023133020332301220313120
5322003340023410333130
63134031402331013332
7126633506550165101
oct11337107661506730
91545437068663752
10331993435246040
1196868697166567
123129a67589a248
1311332b01004819
145bda7d48533a8
15285ada0123145
hex12df23ec68dd8

331993435246040 has 64 divisors (see below), whose sum is σ = 786306844591200. Its totient is φ = 125806982105088.

The previous prime is 331993435246003. The next prime is 331993435246043. The reversal of 331993435246040 is 40642534399133.

It is a super-2 number, since 2×3319934352460402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331993435246043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91872302 + ... + 95417538.

Almost surely, 2331993435246040 is an apocalyptic number.

It is an amenable number.

331993435246040 is an abundant number, since it is smaller than the sum of its proper divisors (454313409345160).

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

331993435246040 is a wasteful number, since it uses less digits than its factorization.

331993435246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668484 (or 3668480 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 56.

The spelling of 331993435246040 in words is "three hundred thirty-one trillion, nine hundred ninety-three billion, four hundred thirty-five million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 123217 246434 492868 616085 985736 1232170 2341123 2464340 3545237 4682246 4928680 7090474 9364492 11705615 14180948 17726185 18728984 23411230 28361896 35452370 46822460 67359503 70904740 93644920 134719006 141809480 269438012 336797515 538876024 673595030 1347190060 2694380120 436833467429 873666934858 1747333869716 2184167337145 3494667739432 4368334674290 8299835881151 8736669348580 16599671762302 17473338697160 33199343524604 41499179405755 66398687049208 82998358811510 165996717623020 331993435246040