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45453001300 = 225271492631657
BaseRepresentation
bin101010010101001101…
…011100001001010100
311100022200211201000121
4222111031130021110
51221041432020200
632514131321324
73166240064530
oct522515341124
9140280751017
1045453001300
1118305041693
128986150244
134394a1bc55
1422b28acbc0
1512b05c0e1a
hexa9535c254

45453001300 has 144 divisors (see below), whose sum is σ = 113980204800. Its totient is φ = 15411133440.

The previous prime is 45453001289. The next prime is 45453001331. The reversal of 45453001300 is 310035454.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27430072 + ... + 27431728.

It is an arithmetic number, because the mean of its divisors is an integer number (791529200).

Almost surely, 245453001300 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 45453001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56990102400).

45453001300 is an abundant number, since it is smaller than the sum of its proper divisors (68527203500).

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

45453001300 is a wasteful number, since it uses less digits than its factorization.

45453001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 45453001300 its reverse (310035454), we get a palindrome (45763036754).

The spelling of 45453001300 in words is "forty-five billion, four hundred fifty-three million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 263 298 350 526 596 700 745 1043 1052 1315 1490 1657 1841 2086 2630 2980 3314 3682 3725 4172 5215 5260 6575 6628 7364 7450 8285 9205 10430 11599 13150 14900 16570 18410 20860 23198 26075 26300 33140 36820 39187 41425 46025 46396 52150 57995 78374 82850 92050 104300 115990 156748 165700 184100 195935 231980 246893 274309 289975 391870 435791 493786 548618 579950 783740 871582 979675 987572 1097236 1159900 1234465 1371545 1728251 1743164 1959350 2178955 2468930 2743090 3050537 3456502 3918700 4357910 4937860 5486180 6101074 6172325 6857725 6913004 8641255 8715820 10894775 12202148 12344650 13715450 15252685 17282510 21789550 24689300 27430900 30505370 34565020 43206275 43579100 61010740 64932859 76263425 86412550 129865718 152526850 172825100 259731436 305053700 324664295 454530013 649328590 909060026 1298657180 1623321475 1818120052 2272650065 3246642950 4545300130 6493285900 9090600260 11363250325 22726500650 45453001300