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50760540601 = 1722924572
BaseRepresentation
bin101111010001100100…
…000110000110111001
311212000120220122012021
4233101210012012321
51312424144244401
635152530314441
73444615322201
oct572144060671
9155016818167
1050760540601
111a589002501
129a07728a21
134a2c4b8154
142657747401
1514c15252a1
hexbd19061b9

50760540601 has 27 divisors (see below), whose sum is σ = 55968063879. Its totient is φ = 46026290688.

The previous prime is 50760540599. The next prime is 50760540629. The reversal of 50760540601 is 10604506705.

It is a happy number.

The square root of 50760540601 is 225301.

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

It can be written as a sum of positive squares in 13 ways, for example, as 162537001 + 50598003600 = 12749^2 + 224940^2 .

It is not a de Polignac number, because 50760540601 - 21 = 50760540599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50760547601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 111073165 + ... + 111073621.

Almost surely, 250760540601 is an apocalyptic number.

50760540601 is the 225301-st square number.

50760540601 is the 112651-st centered octagonal number.

It is an amenable number.

50760540601 is a deficient number, since it is larger than the sum of its proper divisors (5207523278).

50760540601 is an frugal number, since it uses more digits than its factorization.

50760540601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

It can be divided in two parts, 50760 and 540601, that added together give a square (591361 = 7692).

The spelling of 50760540601 in words is "fifty billion, seven hundred sixty million, five hundred forty thousand, six hundred one".

Divisors: 1 17 29 289 457 493 841 7769 8381 13253 14297 132073 208849 225301 243049 384337 3550433 3830117 6056621 6533729 60357361 102962557 111073393 175642009 1750363469 2985914153 50760540601