Search a number
-
+
72540740611024 = 24722910729818387
BaseRepresentation
bin10000011111100110110101…
…000100110110101111010000
3100111211211022221022210211121
4100133212311010312233100
534002001414044023044
6414140431200252024
721164616114344200
oct2037466504665720
9314754287283747
1072540740611024
112112839aa3a474
128176a6b311014
133162740a2946a
1413cadc2212400
1585be40133984
hex41f9b5136bd0

72540740611024 has 120 divisors (see below), whose sum is σ = 170712656771040. Its totient is φ = 29736325801728.

The previous prime is 72540740610997. The next prime is 72540740611033. The reversal of 72540740611024 is 42011604704527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12476442 + ... + 17341945.

It is an arithmetic number, because the mean of its divisors is an integer number (1422605473092).

Almost surely, 272540740611024 is an apocalyptic number.

It is an amenable number.

72540740611024 is an abundant number, since it is smaller than the sum of its proper divisors (98171916160016).

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

72540740611024 is a wasteful number, since it uses less digits than its factorization.

72540740611024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29818545 (or 29818532 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 72540740611024 in words is "seventy-two trillion, five hundred forty billion, seven hundred forty million, six hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 107 112 116 196 203 214 232 392 406 428 464 749 784 812 856 1421 1498 1624 1712 2842 2996 3103 3248 5243 5684 5992 6206 10486 11368 11984 12412 20972 21721 22736 24824 41944 43442 49648 83888 86884 152047 173768 304094 347536 608188 1216376 2432752 29818387 59636774 119273548 208728709 238547096 417457418 477094192 834914836 864733223 1461100963 1669829672 1729466446 2922201926 3190567409 3339659344 3458932892 5844403852 6053132561 6381134818 6917865784 11688807704 12106265122 12762269636 13835731568 22333971863 23377615408 24212530244 25524539272 42371927927 44667943726 48425060488 51049078544 84743855854 89335887452 92526454861 96850120976 156337803041 169487711708 178671774904 185052909722 312675606082 338975423416 357343549808 370105819444 625351212164 647685184027 677950846832 740211638888 1250702424328 1295370368054 1480423277776 2501404848656 2590740736108 4533796288189 5181481472216 9067592576378 10362962944432 18135185152756 36270370305512 72540740611024