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72061588330704 = 2433747507018943
BaseRepresentation
bin10000011000101000100101…
…010111111101100011010000
3100110011000112222202222122000
4100120220211113331203100
533421124113103040304
6413132345304114000
721115164223224420
oct2030504527754320
9313130488688560
1072061588330704
1120a63169a75375
1280ba028165900
1331294bcaa66bb
1413b1b29b02480
1584e7498bc939
hex418a255fd8d0

72061588330704 has 160 divisors (see below), whose sum is σ = 241422140375040. Its totient is φ = 20150960830848.

The previous prime is 72061588330687. The next prime is 72061588330709. The reversal of 72061588330704 is 40703388516027.

It is a happy number.

72061588330704 is a `hidden beast` number, since 7 + 20 + 6 + 1 + 588 + 3 + 30 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72061588330709) 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, 253367344 + ... + 253651599.

It is an arithmetic number, because the mean of its divisors is an integer number (1508888377344).

Almost surely, 272061588330704 is an apocalyptic number.

It is an amenable number.

72061588330704 is an abundant number, since it is smaller than the sum of its proper divisors (169360552044336).

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

72061588330704 is a wasteful number, since it uses less digits than its factorization.

72061588330704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507019014 (or 507019002 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 72061588330704 in words is "seventy-two trillion, sixty-one billion, five hundred eighty-eight million, three hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2256 2538 2632 2961 3024 3384 3948 5076 5264 5922 6768 7896 8883 10152 11844 15792 17766 20304 23688 35532 47376 71064 142128 507018943 1014037886 1521056829 2028075772 3042113658 3549132601 4056151544 4563170487 6084227316 7098265202 8112303088 9126340974 10647397803 12168454632 13689511461 14196530404 18252681948 21294795606 23829890321 24336909264 27379022922 28393060808 31942193409 36505363896 42589591212 47659780642 54758045844 56786121616 63884386818 71489670963 73010727792 85179182424 95319561284 95826580227 109516091688 127768773636 142979341926 166809232247 170358364848 190639122568 191653160454 214469012889 219032183376 255537547272 285958683852 333618464494 381278245136 383306320908 428938025778 500427696741 511075094544 571917367704 643407038667 667236928988 766612641816 857876051556 1000855393482 1143834735408 1286814077334 1334473857976 1501283090223 1533225283632 1715752103112 2001710786964 2573628154668 2668947715952 3002566180446 3431504206224 4003421573928 4503849270669 5147256309336 6005132360892 8006843147856 9007698541338 10294512618672 12010264721784 18015397082676 24020529443568 36030794165352 72061588330704