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61253372128 = 25133716632393
BaseRepresentation
bin111001000010111111…
…000100100011100000
312212002212000201002011
4321002333010203200
52000421330402003
644050040202304
74265626033564
oct710277044340
9185085021064
1061253372128
1123a82a280a3
12ba55769394
135a1231a8c0
142d711176a4
1518d77d246d
hexe42fc48e0

61253372128 has 96 divisors (see below), whose sum is σ = 133514873856. Its totient is φ = 27478683648.

The previous prime is 61253372077. The next prime is 61253372143. The reversal of 61253372128 is 82127335216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25595700 + ... + 25598092.

It is an arithmetic number, because the mean of its divisors is an integer number (1390779936).

Almost surely, 261253372128 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 61253372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66757436928).

61253372128 is an abundant number, since it is smaller than the sum of its proper divisors (72261501728).

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

61253372128 is a wasteful number, since it uses less digits than its factorization.

61253372128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4108 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The spelling of 61253372128 in words is "sixty-one billion, two hundred fifty-three million, three hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1663 1924 2393 3326 3848 4786 6652 7696 9572 13304 15392 19144 21619 26608 31109 38288 43238 53216 61531 62218 76576 86476 88541 123062 124436 172952 177082 246124 248872 345904 354164 492248 497744 691808 708328 799903 984496 995488 1151033 1416656 1599806 1968992 2302066 2833312 3199612 3979559 4604132 6399224 7959118 9208264 12798448 15918236 18416528 25596896 31836472 36833056 51734267 63672944 103468534 127345888 147243683 206937068 294487366 413874136 588974732 827748272 1177949464 1655496544 1914167879 2355898928 3828335758 4711797856 7656671516 15313343032 30626686064 61253372128