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37928793420 = 22325741971843
BaseRepresentation
bin100011010100101110…
…110111010101001100
310121220022201100012200
4203110232313111030
51110134232342140
625231345401500
72511624265440
oct432456672514
9117808640180
1037928793420
11150a38a6971
127426339290
133765c3643b
141b9b498820
15ebec5b030
hex8d4bb754c

37928793420 has 144 divisors (see below), whose sum is σ = 131802128640. Its totient is φ = 8648627328.

The previous prime is 37928793389. The next prime is 37928793421. The reversal of 37928793420 is 2439782973.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (37928793421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492019 + ... + 563861.

It is an arithmetic number, because the mean of its divisors is an integer number (915292560).

Almost surely, 237928793420 is an apocalyptic number.

37928793420 is a gapful number since it is divisible by the number (30) 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 37928793420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65901064320).

37928793420 is an abundant number, since it is smaller than the sum of its proper divisors (93873335220).

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

37928793420 is a wasteful number, since it uses less digits than its factorization.

37928793420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72284 (or 72279 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 37928793420 in words is "thirty-seven billion, nine hundred twenty-eight million, seven hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 419 420 630 838 1257 1260 1676 2095 2514 2933 3771 4190 5028 5866 6285 7542 8380 8799 11732 12570 14665 15084 17598 18855 25140 26397 29330 35196 37710 43995 52794 58660 71843 75420 87990 105588 131985 143686 175980 215529 263970 287372 359215 431058 502901 527940 646587 718430 862116 1005802 1077645 1293174 1436860 1508703 2011604 2155290 2514505 2586348 3017406 3232935 4310580 4526109 5029010 6034812 6465870 7543515 9052218 10058020 12931740 15087030 18104436 22630545 30102217 30174060 45261090 60204434 90306651 90522180 120408868 150511085 180613302 210715519 270919953 301022170 361226604 421431038 451533255 541839906 602044340 632146557 842862076 903066510 1053577595 1083679812 1264293114 1354599765 1806133020 1896439671 2107155190 2528586228 2709199530 3160732785 3792879342 4214310380 5418399060 6321465570 7585758684 9482198355 12642931140 18964396710 37928793420