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2378547400516 = 22721101612
BaseRepresentation
bin100010100111001100011…
…110010000111101000100
322102101110001120020211021
4202213030132100331010
5302432231113304031
65020404541320524
7333562423214200
oct42471436207504
98371401506737
102378547400516
11837810aa9721
12324b8a866144
131433b0590961
148319d885b00
1541d11375511
hex229cc790f44

2378547400516 has 27 divisors (see below), whose sum is σ = 4842086877117. Its totient is φ = 1019368203840.

The previous prime is 2378547400511. The next prime is 2378547400637. The reversal of 2378547400516 is 6150047458732.

The square root of 2378547400516 is 1542254.

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., 15563560516 + 2362983840000 = 124754^2 + 1537200^2 .

It is not an unprimeable number, because it can be changed into a prime (2378547400511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21536476 + ... + 21646636.

Almost surely, 22378547400516 is an apocalyptic number.

2378547400516 is the 1542254-th square number.

It is an amenable number.

2378547400516 is an abundant number, since it is smaller than the sum of its proper divisors (2463539476601).

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

2378547400516 is an frugal number, since it uses more digits than its factorization.

2378547400516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220340 (or 110170 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 2378547400516 in words is "two trillion, three hundred seventy-eight billion, five hundred forty-seven million, four hundred thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 110161 220322 440644 771127 1542254 3084508 5397889 10795778 21591556 12135445921 24270891842 48541783684 84948121447 169896242894 339792485788 594636850129 1189273700258 2378547400516