Search a number
-
+
1147137997536 = 253210345498501
BaseRepresentation
bin10000101100010110110…
…000001011101011100000
311001122222000112011001100
4100230112300023223200
5122243314311410121
62234553220234400
7145610102044536
oct20542660135340
94048860464040
101147137997536
11402553548253
121663a623ba00
138423691c4cb
143d743a74156
151ec8de60026
hex10b16c0bae0

1147137997536 has 144 divisors (see below), whose sum is σ = 3294956901600. Its totient is φ = 378539136000.

The previous prime is 1147137997469. The next prime is 1147137997541. The reversal of 1147137997536 is 6357997317411.

1147137997536 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 1 + 3 + 7 + 9 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134937286 + ... + 134945786.

It is an arithmetic number, because the mean of its divisors is an integer number (22881645150).

Almost surely, 21147137997536 is an apocalyptic number.

1147137997536 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 1147137997536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647478450800).

1147137997536 is an abundant number, since it is smaller than the sum of its proper divisors (2147818904064).

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

1147137997536 is a wasteful number, since it uses less digits than its factorization.

1147137997536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13169 (or 13158 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The spelling of 1147137997536 in words is "one trillion, one hundred forty-seven billion, one hundred thirty-seven million, nine hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4549 4944 7416 8501 9098 9888 13647 14832 17002 18196 25503 27294 29664 34004 36392 40941 51006 54588 68008 72784 76509 81882 102012 109176 136016 145568 153018 163764 204024 218352 272032 306036 327528 408048 436704 468547 612072 655056 816096 875603 937094 1224144 1310112 1405641 1751206 1874188 2448288 2626809 2811282 3502412 3748376 4216923 5253618 5622564 7004824 7496752 7880427 8433846 10507236 11245128 14009648 14993504 15760854 16867692 21014472 22490256 28019296 31521708 33735384 38671049 42028944 44980512 63043416 67470768 77342098 84057888 116013147 126086832 134941536 154684196 232026294 252173664 309368392 348039441 464052588 618736784 696078882 928105176 1237473568 1392157764 1856210352 2784315528 3712420704 3983118047 5568631056 7966236094 11137262112 11949354141 15932472188 23898708282 31864944376 35848062423 47797416564 63729888752 71696124846 95594833128 127459777504 143392249692 191189666256 286784499384 382379332512 573568998768 1147137997536