Search a number
-
+
2030701451004 = 223489103683713
BaseRepresentation
bin11101100011001111001…
…111010001011011111100
321012010121002001011020000
4131203033033101123330
5231232334032413004
64152520311354300
7266466450350412
oct35431717213374
97163532034200
102030701451004
11713241035396
12289691982990
13119657056125
147040212d2b2
1537c534b3c39
hex1d8cf3d16fc

2030701451004 has 120 divisors (see below), whose sum is σ = 5420429894880. Its totient is φ = 662795882496.

The previous prime is 2030701450957. The next prime is 2030701451017. The reversal of 2030701451004 is 4001541070302.

2030701451004 is a `hidden beast` number, since 203 + 0 + 7 + 0 + 1 + 451 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2628252 + ... + 3311964.

It is an arithmetic number, because the mean of its divisors is an integer number (45170249124).

Almost surely, 22030701451004 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 2030701451004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710214947440).

2030701451004 is an abundant number, since it is smaller than the sum of its proper divisors (3389728443876).

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

2030701451004 is a wasteful number, since it uses less digits than its factorization.

2030701451004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683921 (or 683910 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 2030701451004 in words is "two trillion, thirty billion, seven hundred one million, four hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 103 108 162 178 206 267 309 324 356 412 534 618 801 927 1068 1236 1602 1854 2403 2781 3204 3708 4806 5562 7209 8343 9167 9612 11124 14418 16686 18334 27501 28836 33372 36668 55002 82503 110004 165006 247509 330012 495018 683713 742527 990036 1367426 1485054 2051139 2734852 2970108 4102278 6153417 8204556 12306834 18460251 24613668 36920502 55380753 60850457 70422439 73841004 110761506 121700914 140844878 182551371 211267317 221523012 243401828 281689756 365102742 422534634 547654113 633801951 730205484 845069268 1095308226 1267603902 1642962339 1901405853 2190616452 2535207804 3285924678 3802811706 4928887017 5704217559 6267597071 6571849356 7605623412 9857774034 11408435118 12535194142 18802791213 19715548068 22816870236 25070388284 37605582426 56408373639 75211164852 112816747278 169225120917 225633494556 338450241834 507675362751 676900483668 1015350725502 2030701451004