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11539527472144 = 24721213212
BaseRepresentation
bin1010011111101100000101…
…1011111001010000010000
31111212011112111210000200201
42213323001123321100100
53003030423013102034
640313104041424544
72300463151056400
oct247730133712020
944764474700621
1011539527472144
113749982472261
12136453049b154
1365923276a7a9
142bc7322c2800
15150282586014
hexa7ec16f9410

11539527472144 has 45 divisors (see below), whose sum is σ = 26008307543421. Its totient is φ = 4945471009920.

The previous prime is 11539527472139. The next prime is 11539527472177. The reversal of 11539527472144 is 44127472593511.

The square root of 11539527472144 is 3396988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9233017033744 + 2306510438400 = 3038588^2 + 1518720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95055004 + ... + 95176324.

Almost surely, 211539527472144 is an apocalyptic number.

11539527472144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11539527472144 is the 3396988-th square number.

It is an amenable number.

11539527472144 is an abundant number, since it is smaller than the sum of its proper divisors (14468780071277).

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

11539527472144 is an frugal number, since it uses more digits than its factorization.

11539527472144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242664 (or 121330 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The spelling of 11539527472144 in words is "eleven trillion, five hundred thirty-nine billion, five hundred twenty-seven million, four hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 121321 242642 485284 849247 970568 1698494 1941136 3396988 5944729 6793976 11889458 13587952 23778916 47557832 95115664 14718785041 29437570082 58875140164 103031495287 117750280328 206062990574 235500560656 412125981148 721220467009 824251962296 1442440934018 1648503924592 2884881868036 5769763736072 11539527472144