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78620779872 = 253557117707
BaseRepresentation
bin100100100111000101…
…0011110010101100000
321111221012212102200000
41021032022132111200
52242003404423442
6100041244100000
75452203413445
oct1111612362540
9244835772600
1078620779872
1130385420638
12132a1b34600
13754c48072b
143b3b9159cc
1520a2380d4c
hex124e29e560

78620779872 has 144 divisors (see below), whose sum is σ = 232277677632. Its totient is φ = 26159552640.

The previous prime is 78620779849. The next prime is 78620779879. The reversal of 78620779872 is 27897702687.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78620779879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4431243 + ... + 4448949.

It is an arithmetic number, because the mean of its divisors is an integer number (1613039428).

Almost surely, 278620779872 is an apocalyptic number.

78620779872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78620779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116138838816).

78620779872 is an abundant number, since it is smaller than the sum of its proper divisors (153656897760).

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

78620779872 is a wasteful number, since it uses less digits than its factorization.

78620779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18303 (or 18283 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 78620779872 in words is "seventy-eight billion, six hundred twenty million, seven hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 571 648 864 972 1142 1296 1713 1944 2284 2592 3426 3888 4568 5139 6852 7776 9136 10278 13704 15417 17707 18272 20556 27408 30834 35414 41112 46251 53121 54816 61668 70828 82224 92502 106242 123336 138753 141656 159363 164448 185004 212484 246672 277506 283312 318726 370008 424968 478089 493344 555012 566624 637452 740016 849936 956178 1110024 1274904 1434267 1480032 1699872 1912356 2220048 2549808 2868534 3824712 4302801 4440096 5099616 5737068 7649424 8605602 10110697 11474136 15298848 17211204 20221394 22948272 30332091 34422408 40442788 45896544 60664182 68844816 80885576 90996273 121328364 137689632 161771152 181992546 242656728 272988819 323542304 363985092 485313456 545977638 727970184 818966457 970626912 1091955276 1455940368 1637932914 2183910552 2456899371 2911880736 3275865828 4367821104 4913798742 6551731656 8735642208 9827597484 13103463312 19655194968 26206926624 39310389936 78620779872