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1429868616 = 2331121273877
BaseRepresentation
bin101010100111010…
…0001000001001000
310200122112211222220
41111032201001020
510412021243431
6353515014040
750301453111
oct12516410110
93618484886
101429868616
1167413a500
1233aa3a320
1319a308a07
14d7c89208
15857e4b96
hex553a1048

1429868616 has 96 divisors (see below), whose sum is σ = 3961144320. Its totient is φ = 429770880.

The previous prime is 1429868611. The next prime is 1429868633. The reversal of 1429868616 is 6168689241.

It is not an unprimeable number, because it can be changed into a prime (1429868611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366870 + ... + 370746.

It is an arithmetic number, because the mean of its divisors is an integer number (41261920).

Almost surely, 21429868616 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 1429868616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980572160).

1429868616 is an abundant number, since it is smaller than the sum of its proper divisors (2531275704).

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

1429868616 is a wasteful number, since it uses less digits than its factorization.

1429868616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4020 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 1429868616 is about 37813.6035838956. The cubic root of 1429868616 is about 1126.5886667210.

The spelling of 1429868616 in words is "one billion, four hundred twenty-nine million, eight hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 132 242 254 264 363 381 484 508 726 762 968 1016 1397 1452 1524 2794 2904 3048 3877 4191 5588 7754 8382 11176 11631 15367 15508 16764 23262 30734 31016 33528 42647 46101 46524 61468 85294 92202 93048 122936 127941 170588 184404 255882 341176 368808 469117 492379 511764 938234 984758 1023528 1407351 1477137 1876468 1969516 2814702 2954274 3752936 3939032 5416169 5629404 5908548 10832338 11258808 11817096 16248507 21664676 32497014 43329352 59577859 64994028 119155718 129988056 178733577 238311436 357467154 476622872 714934308 1429868616