Search a number
-
+
1626988032064 = 261979132712763
BaseRepresentation
bin10111101011010000000…
…010110011000001000000
312202112112121000120002101
4113223100002303001000
5203124032414011224
63243232240000144
7225355165043203
oct27532002630100
95675477016071
101626988032064
1157800236841a
122233a3000054
13ba5692a6395
1458a64ad593a
152c4c5aa3044
hex17ad00b3040

1626988032064 has 112 divisors (see below), whose sum is σ = 3444360294400. Its totient is φ = 760290126336.

The previous prime is 1626988032049. The next prime is 1626988032071. The reversal of 1626988032064 is 4602308896261.

It is a junction number, because it is equal to n+sod(n) for n = 1626988031996 and 1626988032014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127470547 + ... + 127483309.

Almost surely, 21626988032064 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 1626988032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722180147200).

1626988032064 is an abundant number, since it is smaller than the sum of its proper divisors (1817372262336).

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

1626988032064 is a wasteful number, since it uses less digits than its factorization.

1626988032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 1626988032064 in words is "one trillion, six hundred twenty-six billion, nine hundred eighty-eight million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 152 158 304 316 608 632 1216 1264 1327 1501 2528 2654 3002 5056 5308 6004 10616 12008 12763 21232 24016 25213 25526 42464 48032 50426 51052 84928 96064 100852 102104 104833 201704 204208 209666 242497 403408 408416 419332 484994 806816 816832 838664 969988 1008277 1613632 1677328 1939976 1991827 2016554 3354656 3879952 3983654 4033108 6709312 7759904 7967308 8066216 15519808 15934616 16132432 16936501 19157263 31869232 32264864 33873002 38314526 63738464 64529728 67746004 76629052 127476928 135492008 153258104 270984016 306516208 321793519 541968032 613032416 643587038 1083936064 1226064832 1287174076 1337983579 2574348152 2675967158 5148696304 5351934316 10297392608 10703868632 20594785216 21407737264 25421688001 42815474528 50843376002 85630949056 101686752004 203373504008 406747008016 813494016032 1626988032064