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73076146276 = 2272193092
BaseRepresentation
bin100010000001110101…
…1011000000001100100
320222121210122212021011
41010003223120001210
52144124443140101
653323135232004
75164615665100
oct1040353300144
9228553585234
1073076146276
1128a9a641321
12121b5078604
136b77840153
1437733a0900
151d7a6e6751
hex1103ad8064

73076146276 has 27 divisors (see below), whose sum is σ = 148769859609. Its totient is φ = 31316726448.

The previous prime is 73076146207. The next prime is 73076146307. The reversal of 73076146276 is 67264167037.

The square root of 73076146276 is 270326.

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., 9994800676 + 63081345600 = 99974^2 + 251160^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3774910 + ... + 3794218.

Almost surely, 273076146276 is an apocalyptic number.

73076146276 is the 270326-th square number.

It is an amenable number.

73076146276 is an abundant number, since it is smaller than the sum of its proper divisors (75693713333).

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

73076146276 is an frugal number, since it uses more digits than its factorization.

73076146276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38636 (or 19318 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 49.

Multiplying 73076146276 by its sum of digits (49), we get a square (3580731167524 = 18922822).

73076146276 divided by its sum of digits (49) gives a square (1491349924 = 386182).

The spelling of 73076146276 in words is "seventy-three billion, seventy-six million, one hundred forty-six thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 19309 38618 77236 135163 270326 540652 946141 1892282 3784564 372837481 745674962 1491349924 2609862367 5219724734 10439449468 18269036569 36538073138 73076146276