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45374405720 = 2357229227527
BaseRepresentation
bin101010010000100001…
…100111110001011000
311100010012221122011012
4222100201213301120
51220411321440340
632502242553052
73164264041100
oct522041476130
9140105848135
1045374405720
111827473a666
128963968788
134381660ba7
1422a6290200
1512a8748565
hexa90867c58

45374405720 has 144 divisors (see below), whose sum is σ = 123001435440. Its totient is φ = 15019947264.

The previous prime is 45374405707. The next prime is 45374405731. The reversal of 45374405720 is 2750447354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1634597 + ... + 1662123.

It is an arithmetic number, because the mean of its divisors is an integer number (854176635).

Almost surely, 245374405720 is an apocalyptic number.

45374405720 is a gapful number since it is divisible by the number (40) 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 45374405720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61500717720).

45374405720 is an abundant number, since it is smaller than the sum of its proper divisors (77627029720).

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

45374405720 is a wasteful number, since it uses less digits than its factorization.

45374405720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27610 (or 27570 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 41.

The spelling of 45374405720 in words is "forty-five billion, three hundred seventy-four million, four hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 841 980 1015 1160 1421 1624 1682 1960 2030 2842 3364 4060 4205 5684 5887 6728 7105 8120 8410 11368 11774 14210 16820 23548 27527 28420 29435 33640 41209 47096 55054 56840 58870 82418 110108 117740 137635 164836 192689 206045 220216 235480 275270 329672 385378 412090 550540 770756 798283 824180 963445 1101080 1348823 1541512 1596566 1648360 1926890 2697646 3193132 3853780 3991415 5395292 5587981 6386264 6744115 7707560 7982830 10790584 11175962 13488230 15965660 22351924 23150207 26976460 27939905 31931320 39115867 44703848 46300414 53952920 55879810 78231734 92600828 111759620 115751035 156463468 162051449 185201656 195579335 223519240 231502070 312926936 324102898 391158670 463004140 648205796 782317340 810257245 926008280 1134360143 1296411592 1564634680 1620514490 2268720286 3241028980 4537440572 5671800715 6482057960 9074881144 11343601430 22687202860 45374405720