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74054645420 = 225710319072693
BaseRepresentation
bin100010011111000000…
…0000011011010101100
321002010222212202202012
41010332000003122230
52203130442123140
654004212020352
75231100046220
oct1047600033254
9232128782665
1074054645420
1129451a0a1a8
12124289016b8
136ca248ca22
143827312780
151dd657c265
hex113e0036ac

74054645420 has 96 divisors (see below), whose sum is σ = 179617471488. Its totient is φ = 25121140992.

The previous prime is 74054645419. The next prime is 74054645429. The reversal of 74054645420 is 2454645047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74054645429) 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, 27497594 + ... + 27500286.

It is an arithmetic number, because the mean of its divisors is an integer number (1871015328).

Almost surely, 274054645420 is an apocalyptic number.

74054645420 is a gapful number since it is divisible by the number (70) 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 74054645420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89808735744).

74054645420 is an abundant number, since it is smaller than the sum of its proper divisors (105562826068).

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

74054645420 is a wasteful number, since it uses less digits than its factorization.

74054645420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 41.

The spelling of 74054645420 in words is "seventy-four billion, fifty-four million, six hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 1907 2060 2693 2884 3605 3814 5386 7210 7628 9535 10772 13349 13465 14420 18851 19070 26698 26930 37702 38140 53396 53860 66745 75404 94255 133490 188510 196421 266980 277379 377020 392842 554758 785684 982105 1109516 1374947 1386895 1941653 1964210 2749894 2773790 3883306 3928420 5135551 5499788 5547580 6874735 7766612 9708265 10271102 13749470 19416530 20542204 25677755 27498940 35948857 38833060 51355510 71897714 102711020 143795428 179744285 359488570 528961753 718977140 1057923506 2115847012 2644808765 3702732271 5289617530 7405464542 10579235060 14810929084 18513661355 37027322710 74054645420