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7103039538432 = 28327744974363
BaseRepresentation
bin110011101011100111000…
…1001100000010100000000
3221011001012001000212111110
41213113032021200110000
51412334011110212212
623035031420243320
71332114640614615
oct147271611402400
927131161025443
107103039538432
112299422709682
129687496a0540
133c6a76a84006
141a7b08c3250c
15c4b766dca3c
hex675ce260500

7103039538432 has 144 divisors (see below), whose sum is σ = 19015202001600. Its totient is φ = 2353846419456.

The previous prime is 7103039538407. The next prime is 7103039538457. The reversal of 7103039538432 is 2348359303017.

It is an interprime number because it is at equal distance from previous prime (7103039538407) and next prime (7103039538457).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 95481283 + ... + 95555645.

It is an arithmetic number, because the mean of its divisors is an integer number (132050013900).

Almost surely, 27103039538432 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 7103039538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9507601000800).

7103039538432 is an abundant number, since it is smaller than the sum of its proper divisors (11912162463168).

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

7103039538432 is a wasteful number, since it uses less digits than its factorization.

7103039538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75108 (or 75094 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 7103039538432 in words is "seven trillion, one hundred three billion, thirty-nine million, five hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 449 554 768 831 898 1108 1347 1662 1796 2216 2694 3324 3592 4432 5388 6648 7184 8864 10776 13296 14368 17728 21552 26592 28736 35456 43104 53184 57472 70912 74363 86208 106368 114944 124373 148726 172416 212736 223089 248746 297452 344832 373119 446178 497492 594904 746238 892356 994984 1189808 1492476 1784712 1989968 2379616 2984952 3569424 3979936 4759232 5969904 7138848 7959872 9518464 11939808 14277696 15919744 19036928 20598551 23879616 28555392 31839488 33388987 41197102 47759232 57110784 61795653 66777974 82394204 95518464 100166961 123591306 133555948 164788408 200333922 247182612 267111896 329576816 400667844 494365224 534223792 659153632 801335688 988730448 1068447584 1318307264 1602671376 1977460896 2136895168 2636614528 3205342752 3954921792 4273790336 5273229056 6410685504 7909843584 8547580672 9248749399 12821371008 15819687168 18497498798 25642742016 27746248197 36994997596 55492496394 73989995192 110984992788 147979990384 221969985576 295959980768 443939971152 591919961536 887879942304 1183839923072 1775759884608 2367679846144 3551519769216 7103039538432