Search a number
-
+
648136039005 = 3257131011567079
BaseRepresentation
bin10010110111001111110…
…10110001101001011101
32021221221201022012022200
421123213322301221131
541104340311222010
61213425524402113
764553262301110
oct11334772615135
92257851265280
10648136039005
1122a966996114
12a5743546339
13491714a4320
142352720c577
1511cd5c72cc0
hex96e7eb1a5d

648136039005 has 96 divisors (see below), whose sum is σ = 1396381109760. Its totient is φ = 270791078400.

The previous prime is 648136039003. The next prime is 648136039073. The reversal of 648136039005 is 500930631846.

It is not a de Polignac number, because 648136039005 - 21 = 648136039003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648136039003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369945 + ... + 1197134.

It is an arithmetic number, because the mean of its divisors is an integer number (14545636560).

Almost surely, 2648136039005 is an apocalyptic number.

648136039005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

648136039005 is an abundant number, since it is smaller than the sum of its proper divisors (748245070755).

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

648136039005 is a wasteful number, since it uses less digits than its factorization.

648136039005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567211 (or 1567208 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 648136039005 in words is "six hundred forty-eight billion, one hundred thirty-six million, thirty-nine thousand, five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 101 105 117 195 273 303 315 455 505 585 707 819 909 1313 1365 1515 2121 3535 3939 4095 4545 6363 6565 9191 10605 11817 19695 27573 31815 45955 59085 82719 137865 413595 1567079 4701237 7835395 10969553 14103711 20372027 23506185 32908659 54847765 61116081 70518555 98725977 101860135 142604189 158274979 164543295 183348243 305580405 427812567 474824937 493629885 713020945 791374895 916741215 1107924853 1283437701 1424474811 2057574727 2139062835 2374124685 3323774559 5539624265 6172724181 6417188505 7122374055 9971323677 10287873635 14403023089 16618872795 18518172543 30863620905 43209069267 49856618385 72015115445 92590862715 129627207801 216045346335 648136039005