Search a number
-
+
84001251620 = 225112137137607
BaseRepresentation
bin100111000111011011…
…1010110000100100100
322000211012011201100102
41032032313112010210
52334013310022440
6102331210203232
76032425600136
oct1161667260444
9260735151312
1084001251620
1132696575700
1214343a23518
137bc90a4120
1440cc337056
1522b98deb15
hex138edd6124

84001251620 has 144 divisors (see below), whose sum is σ = 211758914304. Its totient is φ = 27798355200.

The previous prime is 84001251611. The next prime is 84001251629. The reversal of 84001251620 is 2615210048.

It is an interprime number because it is at equal distance from previous prime (84001251611) and next prime (84001251629).

It is not an unprimeable number, because it can be changed into a prime (84001251629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214857 + ... + 2252463.

It is an arithmetic number, because the mean of its divisors is an integer number (1470548016).

Almost surely, 284001251620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84001251620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105879457152).

84001251620 is an abundant number, since it is smaller than the sum of its proper divisors (127757662684).

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

84001251620 is a wasteful number, since it uses less digits than its factorization.

84001251620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37722 (or 37709 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 84001251620 its reverse (2615210048), we get a palindrome (86616461668).

The spelling of 84001251620 in words is "eighty-four billion, one million, two hundred fifty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 121 130 142 143 220 242 260 284 286 355 484 572 605 710 715 781 923 1210 1420 1430 1562 1573 1846 2420 2860 3124 3146 3692 3905 4615 6292 7810 7865 8591 9230 10153 15620 15730 17182 18460 20306 31460 34364 37607 40612 42955 50765 75214 85910 101530 111683 150428 171820 188035 203060 223366 376070 413677 446732 488891 558415 752140 827354 977782 1116830 1654708 1955564 2068385 2233660 2444455 2670097 4136770 4550447 4888910 5340194 5377801 8273540 9100894 9777820 10680388 10755602 13350485 18201788 21511204 22752235 26700970 26889005 29371067 34711261 45504470 53401940 53778010 58742134 59155811 69422522 91008940 107556020 117484268 118311622 138845044 146855335 173556305 236623244 293710670 295779055 323081737 347112610 381823871 587421340 591558110 646163474 694225220 763647742 1183116220 1292326948 1527295484 1615408685 1909119355 3230817370 3818238710 4200062581 6461634740 7636477420 8400125162 16800250324 21000312905 42000625810 84001251620