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80614096464 = 243115326910709
BaseRepresentation
bin100101100010011111…
…0010111111001010000
321201002010122101222110
41023010332113321100
52310044202041324
6101011131505320
75552456341206
oct1130476277120
9251063571873
1080614096464
1131208612920
12137595b8240
1377a94279c5
143c8a551076
15216c373329
hex12c4f97e50

80614096464 has 160 divisors (see below), whose sum is σ = 232353878400. Its totient is φ = 23876270080.

The previous prime is 80614096457. The next prime is 80614096481. The reversal of 80614096464 is 46469041608.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7522342 + ... + 7533050.

It is an arithmetic number, because the mean of its divisors is an integer number (1452211740).

Almost surely, 280614096464 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 80614096464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116176939200).

80614096464 is an abundant number, since it is smaller than the sum of its proper divisors (151739781936).

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

80614096464 is a wasteful number, since it uses less digits than its factorization.

80614096464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 80614096464 in words is "eighty billion, six hundred fourteen million, ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 269 318 424 528 538 583 636 807 848 1076 1166 1272 1614 1749 2152 2332 2544 2959 3228 3498 4304 4664 5918 6456 6996 8877 9328 10709 11836 12912 13992 14257 17754 21418 23672 27984 28514 32127 35508 42771 42836 47344 57028 64254 71016 85542 85672 114056 117799 128508 142032 156827 171084 171344 228112 235598 257016 313654 342168 353397 470481 471196 514032 567577 627308 684336 706794 940962 942392 1135154 1254616 1413588 1702731 1881924 1884784 2270308 2509232 2827176 2880721 3405462 3763848 4540616 5654352 5761442 6243347 6810924 7527696 8642163 9081232 11522884 12486694 13621848 17284326 18730041 23045768 24973388 27243696 31687931 34568652 37460082 46091536 49946776 63375862 69137304 74920164 95063793 99893552 126751724 138274608 149840328 152678213 190127586 253503448 299680656 305356426 380255172 458034639 507006896 610712852 760510344 916069278 1221425704 1521020688 1679460343 1832138556 2442851408 3358920686 3664277112 5038381029 6717841372 7328554224 10076762058 13435682744 20153524116 26871365488 40307048232 80614096464