Search a number
-
+
72454667012 = 227131725146649
BaseRepresentation
bin100001101111010100…
…0100111101100000100
320221000111020102222122
41003132220213230010
52141341343321022
653141334545112
75143331336150
oct1033650475404
9227014212878
1072454667012
11288008527a2
1212060b08198
136aa8b63a40
143714a26060
151d40d84742
hex10dea27b04

72454667012 has 96 divisors (see below), whose sum is σ = 165897849600. Its totient is φ = 26869248000.

The previous prime is 72454666987. The next prime is 72454667023. The reversal of 72454667012 is 21076645427.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529864 + ... + 1576512.

It is an arithmetic number, because the mean of its divisors is an integer number (1728102600).

Almost surely, 272454667012 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 72454667012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82948924800).

72454667012 is an abundant number, since it is smaller than the sum of its proper divisors (93443182588).

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

72454667012 is a wasteful number, since it uses less digits than its factorization.

72454667012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46941 (or 46939 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 72454667012 in words is "seventy-two billion, four hundred fifty-four million, six hundred sixty-seven thousand, twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 251 364 442 476 502 884 1004 1547 1757 3094 3263 3514 4267 6188 6526 7028 8534 13052 17068 22841 29869 45682 46649 55471 59738 91364 93298 110942 119476 186596 221884 326543 388297 606437 653086 776594 793033 1212874 1306172 1553188 1586066 2425748 3172132 4245059 5551231 8490118 10309429 11102462 11708899 16980236 20618858 22204924 23417798 41237716 46835596 72166003 81962293 144332006 152215687 163924586 199051283 288664012 304431374 327849172 398102566 608862748 796205132 1065509809 1393358981 2131019618 2587666679 2786717962 4262039236 5175333358 5573435924 10350666716 18113666753 36227333506 72454667012