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55561211472 = 24313198295653
BaseRepresentation
bin110011101111101101…
…001100111001010000
312022102011012222121010
4303233231030321100
51402242132231342
641305141330520
74004600335164
oct635755147120
9168364188533
1055561211472
1121621945598
12a927406a40
135315c65bc0
14299115cca4
1516a2c0629c
hexcefb4ce50

55561211472 has 160 divisors (see below), whose sum is σ = 162934710400. Its totient is φ = 16173582336.

The previous prime is 55561211449. The next prime is 55561211473. The reversal of 55561211472 is 27411216555.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 55561211472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55561211473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9825798 + ... + 9831450.

It is an arithmetic number, because the mean of its divisors is an integer number (1018341940).

Almost surely, 255561211472 is an apocalyptic number.

55561211472 is a gapful number since it is divisible by the number (52) 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 55561211472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81467355200).

55561211472 is an abundant number, since it is smaller than the sum of its proper divisors (107373498928).

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

55561211472 is a wasteful number, since it uses less digits than its factorization.

55561211472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6519 counting only the distinct ones).

The product of its digits is 84000, while the sum is 39.

The spelling of 55561211472 in words is "fifty-five billion, five hundred sixty-one million, two hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 829 912 988 1482 1658 1976 2487 2964 3316 3952 4974 5653 5928 6632 9948 10777 11306 11856 13264 15751 16959 19896 21554 22612 31502 32331 33918 39792 43108 45224 47253 63004 64662 67836 73489 86216 90448 94506 107407 126008 129324 135672 146978 172432 189012 204763 214814 220467 252016 258648 271344 293956 322221 378024 409526 429628 440934 517296 587912 614289 644442 756048 819052 859256 881868 1175824 1228578 1288884 1396291 1638104 1718512 1763736 2457156 2577768 2792582 3276208 3527472 4188873 4686337 4914312 5155536 5585164 8377746 9372674 9828624 11170328 14059011 16755492 18745348 22340656 28118022 33510984 37490696 56236044 60922381 67021968 74981392 89040403 112472088 121844762 178080806 182767143 224944176 243689524 267121209 356161612 365534286 487379048 534242418 712323224 731068572 974758096 1068484836 1157525239 1424646448 1462137144 2136969672 2315050478 2924274288 3472575717 4273939344 4630100956 6945151434 9260201912 13890302868 18520403824 27780605736 55561211472