Search a number
-
+
5011450267472 = 2411235373319981
BaseRepresentation
bin100100011101101000110…
…1101101000011101010000
3122202002102120210222111122
41020323101231220131100
51124101422232024342
614354121203301412
71025031260300135
oct110732155503520
918662376728448
105011450267472
111662387033a30
1268b30467a868
132a476838026c
141347ac38458c
158a55caa34d2
hex48ed1b68750

5011450267472 has 160 divisors (see below), whose sum is σ = 11415769986816. Its totient is φ = 2108489011200.

The previous prime is 5011450267471. The next prime is 5011450267561. The reversal of 5011450267472 is 2747620541105.

It is a happy number.

It is a super-2 number, since 2×50114502674722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011450267471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15501722 + ... + 15821702.

Almost surely, 25011450267472 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 5011450267472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707884993408).

5011450267472 is an abundant number, since it is smaller than the sum of its proper divisors (6404319719344).

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

5011450267472 is a wasteful number, since it uses less digits than its factorization.

5011450267472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320149 (or 320143 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 5011450267472 in words is "five trillion, eleven billion, four hundred fifty million, two hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 53 73 88 92 106 146 176 184 212 253 292 368 424 506 583 584 803 848 1012 1166 1168 1219 1606 1679 2024 2332 2438 3212 3358 3869 4048 4664 4876 6424 6716 7738 9328 9752 12848 13409 13432 15476 18469 19504 26818 26864 30952 36938 42559 53636 61904 73876 85118 88987 107272 147752 170236 177974 214544 295504 319981 340472 355948 639962 680944 711896 978857 1279924 1423792 1957714 2559848 3519791 3915428 5119696 7039582 7359563 7830856 14079164 14719126 15661712 16958993 23358613 28158328 29438252 33917986 46717226 56316656 58876504 67835972 80955193 93434452 117753008 135671944 161910386 186548923 186868904 256944743 271343888 323820772 373097846 373737808 390056839 513889486 537248099 647641544 746195692 780113678 1027778972 1074496198 1238006489 1295283088 1492391384 1560227356 2055557944 2148992396 2476012978 2984782768 3120454712 4111115888 4290625229 4297984792 4952025956 5909729089 6240909424 8581250458 8595969584 9904051912 11819458178 13618071379 17162500916 19808103824 23638916356 27236142758 28474149247 34325001832 47277832712 54472285516 56948298494 68650003664 94555665424 108944571032 113896596988 217889142064 227793193976 313215641717 455586387952 626431283434 1252862566868 2505725133736 5011450267472