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472020207108032 = 26115779111275539
BaseRepresentation
bin110101101010011001100010…
…0110001010111111111000000
32021220021200122210222011222002
41223110303010301113333000
5443332034341004424112
64351523031204003132
7201265222521451022
oct15324630461277700
92256250583864862
10472020207108032
11127444711409990
1244b348183904a8
131734c41206917b
14847bc85558012
1539884deb2d1c2
hex1ad4cc4c57fc0

472020207108032 has 112 divisors (see below), whose sum is σ = 1024711773442560. Its totient is φ = 213947519385600.

The previous prime is 472020207108031. The next prime is 472020207108053. The reversal of 472020207108032 is 230801702020274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472020207108031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369417719 + ... + 370693257.

It is an arithmetic number, because the mean of its divisors is an integer number (9149212262880).

Almost surely, 2472020207108032 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 472020207108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512355886721280).

472020207108032 is an abundant number, since it is smaller than the sum of its proper divisors (552691566334528).

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

472020207108032 is a wasteful number, since it uses less digits than its factorization.

472020207108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277050 (or 1277040 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 472020207108032 in words is "four hundred seventy-two trillion, twenty billion, two hundred seven million, one hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 577 704 911 1154 1822 2308 3644 4616 6347 7288 9232 10021 12694 14576 18464 20042 25388 29152 36928 40084 50776 58304 80168 101552 160336 203104 320672 406208 525647 641344 1051294 1275539 2102588 2551078 4205176 5102156 5782117 8410352 10204312 11564234 14030929 16820704 20408624 23128468 28061858 33641408 40817248 46256936 56123716 81634496 92513872 112247432 185027744 224494864 370055488 448989728 735986003 897979456 1162016029 1471972006 2324032058 2943944012 4648064116 5887888024 8095846033 9296128232 11775776048 12782176319 16191692066 18592256464 23551552096 25564352638 32383384132 37184512928 47103104192 51128705276 64766768264 74369025856 102257410552 129533536528 204514821104 259067073056 409029642208 518134146112 670483248733 818059284416 1340966497466 2681932994932 5363865989864 7375315736063 10727731979728 14750631472126 21455463959456 29501262944252 42910927918912 59002525888504 118005051777008 236010103554016 472020207108032