Search a number
-
+
252255752572056 = 233193788211169493
BaseRepresentation
bin111001010110110011011110…
…100001100100110010011000
31020002011102012010012222010220
4321112303132201210302120
5231030424240124301211
62252300405401040040
7104063606464401612
oct7126633641446230
91202142163188126
10252255752572056
117341607803aa52
1224360a31186020
13aa9a80004c09c
14464135a4d1db2
151e26b3ea56806
hexe56cde864c98

252255752572056 has 128 divisors (see below), whose sum is σ = 681784055596800. Its totient is φ = 77505410234880.

The previous prime is 252255752572013. The next prime is 252255752572081. The reversal of 252255752572056 is 650275257552252.

252255752572056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488211246 + ... + 1488380738.

It is an arithmetic number, because the mean of its divisors is an integer number (5326437934350).

Almost surely, 2252255752572056 is an apocalyptic number.

It is an amenable number.

252255752572056 is an abundant number, since it is smaller than the sum of its proper divisors (429528303024744).

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

252255752572056 is a wasteful number, since it uses less digits than its factorization.

252255752572056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257769 (or 257765 counting only the distinct ones).

The product of its (nonzero) digits is 147000000, while the sum is 60.

The spelling of 252255752572056 in words is "two hundred fifty-two trillion, two hundred fifty-five billion, seven hundred fifty-two million, five hundred seventy-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 2109 2812 4218 5624 8436 16872 88211 169493 176422 264633 338986 352844 508479 529266 677972 705688 1016958 1058532 1355944 1676009 2033916 2117064 3220367 3263807 3352018 4067832 5028027 6271241 6440734 6527614 6704036 9661101 9791421 10056054 12542482 12881468 13055228 13408072 18813723 19322202 19582842 20112108 25084964 25762936 26110456 37627446 38644404 39165684 40224216 50169928 62012333 75254892 77288808 78331368 119153579 124024666 150509784 186036999 238307158 248049332 357460737 372073998 476614316 496098664 714921474 744147996 953228632 1429842948 1488295992 2859685896 14951147023 29902294046 44853441069 59804588092 89706882138 119609176184 179413764276 284071793437 358827528552 553192439851 568143586874 852215380311 1106384879702 1136287173748 1659577319553 1704430760622 2212769759404 2272574347496 3319154639106 3408861521244 4425539518808 6638309278212 6817723042488 10510656357169 13276618556424 21021312714338 31531969071507 42042625428676 63063938143014 84085250857352 126127876286028 252255752572056