Search a number
-
+
72049776000 = 273531501037
BaseRepresentation
bin100001100011010000…
…0000101010110000000
320212222021100211221020
41003012200011112000
52140024220313000
653033232425440
75130313663656
oct1030640052600
9225867324836
1072049776000
1128613247124
1211b693a8280
136a42ccc167
1436b6d4add6
151d1a556ba0
hex10c6805580

72049776000 has 128 divisors (see below), whose sum is σ = 238845166560. Its totient is φ = 19213260800.

The previous prime is 72049775977. The next prime is 72049776031. The reversal of 72049776000 is 67794027.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702519 + ... + 798518.

Almost surely, 272049776000 is an apocalyptic number.

It is an amenable number.

72049776000 is an abundant number, since it is smaller than the sum of its proper divisors (166795390560).

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

72049776000 is a wasteful number, since it uses less digits than its factorization.

72049776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501069 (or 1501047 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 72049776000 in words is "seventy-two billion, forty-nine million, seven hundred seventy-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 1501037 3002074 4503111 6004148 7505185 9006222 12008296 15010370 18012444 22515555 24016592 30020740 36024888 37525925 45031110 48033184 60041480 72049776 75051850 90062220 96066368 112577775 120082960 144099552 150103700 180124440 187629625 192132736 225155550 240165920 288199104 300207400 360248880 375259250 450311100 480331840 562888875 576398208 600414800 720497760 750518500 900622200 960663680 1125777750 1200829600 1440995520 1501037000 1801244400 2251555500 2401659200 2881991040 3002074000 3602488800 4503111000 4803318400 6004148000 7204977600 9006222000 12008296000 14409955200 18012444000 24016592000 36024888000 72049776000