Search a number
-
+
88012689372 = 2234319778969
BaseRepresentation
bin101000111110111110…
…1110000111111011100
322102011202101212110000
41101331331300333130
52420222222024442
6104233225214300
76234015342006
oct1217575607734
9272152355400
1088012689372
1134364961213
1215083331390
1383b819b92a
14438cdc7376
152451b73d4c
hex147df70fdc

88012689372 has 120 divisors (see below), whose sum is σ = 237774176640. Its totient is φ = 28358968320.

The previous prime is 88012689313. The next prime is 88012689407. The reversal of 88012689372 is 27398621088.

It is a happy number.

88012689372 is a `hidden beast` number, since 8 + 8 + 0 + 1 + 268 + 9 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9808504 + ... + 9817472.

It is an arithmetic number, because the mean of its divisors is an integer number (1981451472).

Almost surely, 288012689372 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 88012689372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118887088320).

88012689372 is an abundant number, since it is smaller than the sum of its proper divisors (149761487268).

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

88012689372 is a wasteful number, since it uses less digits than its factorization.

88012689372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 88012689372 in words is "eighty-eight billion, twelve million, six hundred eighty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 977 1116 1674 1954 2511 2931 3348 3908 5022 5862 8793 8969 10044 11724 17586 17938 26379 26907 30287 35172 35876 52758 53814 60574 79137 80721 90861 105516 107628 121148 158274 161442 181722 242163 272583 278039 316548 322884 363444 484326 545166 556078 726489 817749 834117 968652 1090332 1112156 1452978 1635498 1668234 2453247 2502351 2905956 3270996 3336468 4906494 5004702 7507053 8762713 9812988 10009404 15014106 17525426 22521159 26288139 30028212 35050852 45042318 52576278 78864417 90084636 105152556 157728834 236593251 271644103 315457668 473186502 543288206 709779753 814932309 946373004 1086576412 1419559506 1629864618 2444796927 2839119012 3259729236 4889593854 7334390781 9779187708 14668781562 22003172343 29337563124 44006344686 88012689372