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46380501272 = 2374726996529
BaseRepresentation
bin101011001100011111…
…100100100100011000
311102201100002120210102
4223030133210210120
51224441402020042
633150143034532
73231231520220
oct531437444430
9142640076712
1046380501272
1118740647096
128ba489ba48
1344b1c236c1
14235db47080
151316c30b32
hexacc7e4918

46380501272 has 64 divisors (see below), whose sum is σ = 101554560000. Its totient is φ = 19444248576.

The previous prime is 46380501263. The next prime is 46380501281. The reversal of 46380501272 is 27210508364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46380501263) and next prime (46380501281).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7100504 + ... + 7107032.

It is an arithmetic number, because the mean of its divisors is an integer number (1586790000).

Almost surely, 246380501272 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 46380501272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50777280000).

46380501272 is an abundant number, since it is smaller than the sum of its proper divisors (55174058728).

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

46380501272 is a wasteful number, since it uses less digits than its factorization.

46380501272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 46380501272 in words is "forty-six billion, three hundred eighty million, five hundred one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 2699 5398 6529 10796 13058 18893 21592 26116 37786 45703 52232 75572 91406 126853 151144 182812 253706 306863 365624 507412 613726 887971 1014824 1227452 1775942 2148041 2454904 3551884 4296082 7103768 8592164 17184328 17621771 35243542 70487084 123352397 140974168 246704794 493409588 828223237 986819176 1656446474 3312892948 5797562659 6625785896 11595125318 23190250636 46380501272