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125732068722 = 23413221432
BaseRepresentation
bin111010100011000110…
…1110001110101110010
3110000112111001212120000
41311012031301311302
54024444402144342
6133432134330430
712040520644011
oct1650615616562
9400474055500
10125732068722
11493605251a7
122044b4b9a16
13bb19902b00
14612a72ca78
15340d31644c
hex1d46371d72

125732068722 has 90 divisors (see below), whose sum is σ = 305214218397. Its totient is φ = 38668737744.

The previous prime is 125732068717. The next prime is 125732068727. The reversal of 125732068722 is 227860237521.

125732068722 is a `hidden beast` number, since 1 + 2 + 573 + 2 + 0 + 6 + 8 + 72 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125732068717) and next prime (125732068727).

It can be written as a sum of positive squares in 2 ways, for example, as 107504638641 + 18227430081 = 327879^2 + 135009^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=250731.

It is a super-2 number, since 2×1257320687222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125732068727) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58669983 + ... + 58672125.

Almost surely, 2125732068722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125732068722

125732068722 is an abundant number, since it is smaller than the sum of its proper divisors (179482149675).

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

125732068722 is an frugal number, since it uses more digits than its factorization.

125732068722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 125732068722 in words is "one hundred twenty-five billion, seven hundred thirty-two million, sixty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 2143 3042 4286 4563 6429 9126 12858 13689 19287 27378 27859 38574 55718 57861 83577 115722 167154 173583 250731 347166 362167 501462 724334 752193 1086501 1504386 2173002 2256579 3259503 4513158 4592449 6519006 9184898 9778509 13777347 19557018 27554694 29335527 41332041 58671054 59701837 82664082 119403674 123996123 179105511 247992246 358211022 371988369 537316533 743976738 776123881 1074633066 1552247762 1611949599 2328371643 3223899198 4656743286 4835848797 6985114929 9671697594 13970229858 20955344787 41910689574 62866034361 125732068722