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52072433574 = 23721278811583
BaseRepresentation
bin110000011111110000…
…100100011110100110
311222102000110201000220
4300133300210132212
51323121020333244
635531032545210
73522255245100
oct603760443646
9158360421026
1052072433574
11200a1593077
12a112b52206
134bab228495
14273da82570
15154b7b4319
hexc1fc247a6

52072433574 has 96 divisors (see below), whose sum is σ = 122317848576. Its totient is φ = 14734621440.

The previous prime is 52072433537. The next prime is 52072433603. The reversal of 52072433574 is 47533427025.

52072433574 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32893987 + ... + 32895569.

It is an arithmetic number, because the mean of its divisors is an integer number (1274144256).

Almost surely, 252072433574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52072433574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158924288).

52072433574 is an abundant number, since it is smaller than the sum of its proper divisors (70245415002).

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

52072433574 is a wasteful number, since it uses less digits than its factorization.

52072433574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 52072433574 in words is "fifty-two billion, seventy-two million, four hundred thirty-three thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 381 762 881 889 1583 1762 1778 2643 2667 3166 4749 5286 5334 6167 6223 9498 11081 12334 12446 18501 18669 22162 33243 37002 37338 43169 66486 77567 86338 111887 129507 155134 201041 223774 232701 259014 335661 402082 465402 603123 671322 783209 1206246 1394623 1407287 1566418 2349627 2789246 2814574 4183869 4221861 4699254 5482463 8367738 8443722 9762361 9851009 10964926 16447389 19524722 19702018 29287083 29553027 32894778 58574166 59106054 68336527 136673054 177117121 205009581 354234242 410019162 531351363 1062702726 1239819847 2479639694 3719459541 7438919082 8678738929 17357477858 26036216787 52072433574