Search a number
-
+
153021651216 = 2437835579851
BaseRepresentation
bin1000111010000011001…
…1010001100100010000
3112121222100020022002120
42032200303101210100
510001342020314331
6154144105014240
714025006401010
oct2164063214420
9477870208076
10153021651216
1159994807465
12257a6784380
13115785a4865
147598bd1c40
153ea8eed796
hex23a0cd1910

153021651216 has 160 divisors (see below), whose sum is σ = 458088680448. Its totient is φ = 43111795200.

The previous prime is 153021651173. The next prime is 153021651221. The reversal of 153021651216 is 612156120351.

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, 15528691 + ... + 15538541.

Almost surely, 2153021651216 is an apocalyptic number.

153021651216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153021651216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229044340224).

153021651216 is an abundant number, since it is smaller than the sum of its proper divisors (305067029232).

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

153021651216 is a wasteful number, since it uses less digits than its factorization.

153021651216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 153021651216 its reverse (612156120351), we get a palindrome (765177771567).

The spelling of 153021651216 in words is "one hundred fifty-three billion, twenty-one million, six hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 557 581 664 996 1114 1162 1328 1671 1743 1992 2228 2324 3342 3486 3899 3984 4456 4648 6684 6972 7798 8912 9296 9851 11697 13368 13944 15596 19702 23394 26736 27888 29553 31192 39404 46231 46788 59106 62384 68957 78808 92462 93576 118212 137914 138693 157616 184924 187152 206871 236424 275828 277386 323617 369848 413742 472848 551656 554772 647234 739696 817633 827484 970851 1103312 1109544 1294468 1635266 1654968 1941702 2219088 2452899 2588936 3270532 3309936 3883404 4905798 5177872 5487007 5723431 6541064 7766808 9811596 10974014 11446862 13082128 15533616 16461021 17170293 19623192 21948028 22893724 32922042 34340586 38409049 39246384 43896056 45787448 65844084 68681172 76818098 87792112 91574896 115227147 131688168 137362344 153636196 230454294 263376336 274724688 307272392 455421581 460908588 614544784 910843162 921817176 1366264743 1821686324 1843634352 2732529486 3187951067 3643372648 5465058972 6375902134 7286745296 9563853201 10930117944 12751804268 19127706402 21860235888 25503608536 38255412804 51007217072 76510825608 153021651216