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78436874640 = 24351923971971
BaseRepresentation
bin100100100001100110…
…0111011100110010000
321111110101211002010010
41021003030323212100
52241114314442030
6100011114234520
75444511301545
oct1110314734620
9244411732103
1078436874640
11302a0630943
1213250425a40
137520340177
143b21322bcc
1520911556b0
hex124333b990

78436874640 has 160 divisors (see below), whose sum is σ = 257026406400. Its totient is φ = 19732446720.

The previous prime is 78436874639. The next prime is 78436874641. The reversal of 78436874640 is 4647863487.

It is an interprime number because it is at equal distance from previous prime (78436874639) and next prime (78436874641).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (78436874641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053855 + ... + 1125825.

It is an arithmetic number, because the mean of its divisors is an integer number (1606415040).

Almost surely, 278436874640 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 78436874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128513203200).

78436874640 is an abundant number, since it is smaller than the sum of its proper divisors (178589531760).

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

78436874640 is a wasteful number, since it uses less digits than its factorization.

78436874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72245 (or 72239 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 78436874640 in words is "seventy-eight billion, four hundred thirty-six million, eight hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 239 240 285 304 380 456 478 570 717 760 912 956 1140 1195 1434 1520 1912 2280 2390 2868 3585 3824 4541 4560 4780 5736 7170 9082 9560 11472 13623 14340 18164 19120 22705 27246 28680 36328 45410 54492 57360 68115 71971 72656 90820 108984 136230 143942 181640 215913 217968 272460 287884 359855 363280 431826 544920 575768 719710 863652 1079565 1089840 1151536 1367449 1439420 1727304 2159130 2734898 2878840 3454608 4102347 4318260 5469796 5757680 6837245 8204694 8636520 10939592 13674490 16409388 17201069 17273040 20511735 21879184 27348980 32818776 34402138 41023470 51603207 54697960 65637552 68804276 82046940 86005345 103206414 109395920 137608552 164093880 172010690 206412828 258016035 275217104 326820311 328187760 344021380 412825656 516032070 653640622 688042760 825651312 980460933 1032064140 1307281244 1376085520 1634101555 1960921866 2064128280 2614562488 3268203110 3921843732 4128256560 4902304665 5229124976 6536406220 7843687464 9804609330 13072812440 15687374928 19609218660 26145624880 39218437320 78436874640