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72041904349296 = 2437231397859621
BaseRepresentation
bin10000011000010110010000…
…000111100010000001110000
3100110002010202011220010101120
4100120112100013202001300
533420313310003134141
6413115332144102240
721113566356154500
oct2030262007420160
9313063664803346
1072041904349296
1120a55888970842
1280b6254004980
1331276a3a17a1b
1413b0bbd79da00
1584de96776c66
hex4185901e2070

72041904349296 has 120 divisors (see below), whose sum is σ = 217184947804944. Its totient is φ = 20517639367680.

The previous prime is 72041904349291. The next prime is 72041904349319. The reversal of 72041904349296 is 69294340914027.

It is a super-2 number, since 2×720419043492962 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72041904349291) 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, 48193635 + ... + 49665986.

Almost surely, 272041904349296 is an apocalyptic number.

It is an amenable number.

72041904349296 is an abundant number, since it is smaller than the sum of its proper divisors (145143043455648).

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

72041904349296 is a wasteful number, since it uses less digits than its factorization.

72041904349296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97859959 (or 97859946 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 72041904349296 in words is "seventy-two trillion, forty-one billion, nine hundred four million, three hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 313 336 392 588 626 784 939 1176 1252 1878 2191 2352 2504 3756 4382 5008 6573 7512 8764 13146 15024 15337 17528 26292 30674 35056 46011 52584 61348 92022 105168 122696 184044 245392 368088 736176 97859621 195719242 293578863 391438484 587157726 685017347 782876968 1174315452 1370034694 1565753936 2055052041 2348630904 2740069388 4110104082 4697261808 4795121429 5480138776 8220208164 9590242858 10960277552 14385364287 16440416328 19180485716 28770728574 30630061373 32880832656 38360971432 57541457148 61260122746 76721942864 91890184119 115082914296 122520245492 183780368238 214410429611 230165828592 245040490984 367560736476 428820859222 490080981968 643231288833 735121472952 857641718444 1286462577666 1470242945904 1500873007277 1715283436888 2572925155332 3001746014554 3430566873776 4502619021831 5145850310664 6003492029108 9005238043662 10291700621328 12006984058216 18010476087324 24013968116432 36020952174648 72041904349296