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4811125381974 = 234679713134883
BaseRepresentation
bin100011000000010110101…
…1010110101101101010110
3122000221100121012101220000
41012000231122311231112
51112311141044210344
614122111145552130
71004410112666112
oct106005532655526
918027317171800
104811125381974
11159542894151a
126585181a5646
1328b8c195c262
14128c07092742
1585235d56a69
hex4602d6b5b56

4811125381974 has 160 divisors (see below), whose sum is σ = 11138887622016. Its totient is φ = 1551506711040.

The previous prime is 4811125381967. The next prime is 4811125381991. The reversal of 4811125381974 is 4791835211184.

4811125381974 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 12 + 538 + 1 + 97 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4811125381974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137904337 + ... + 137939219.

Almost surely, 24811125381974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4811125381974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569443811008).

4811125381974 is an abundant number, since it is smaller than the sum of its proper divisors (6327762240042).

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

4811125381974 is a wasteful number, since it uses less digits than its factorization.

4811125381974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192 (or 35183 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 4811125381974 in words is "four trillion, eight hundred eleven billion, one hundred twenty-five million, three hundred eighty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 67 81 97 131 134 162 194 201 262 291 393 402 582 603 786 873 1179 1206 1746 1809 2358 2619 3537 3618 5238 5427 6499 7074 7857 8777 10611 10854 12707 12998 15714 17554 19497 21222 25414 26331 34883 38121 38994 52662 58491 69766 76242 78993 104649 114363 116982 157986 175473 209298 228726 236979 313947 343089 350946 473958 526419 627894 686178 710937 851369 941841 1029267 1052838 1421874 1702738 1883682 2058534 2337161 2554107 2825523 3383651 4569673 4674322 5108214 5651046 6767302 7011483 7662321 9139346 10150953 13709019 14022966 15324642 20301906 21034449 22986963 27418038 30452859 41127057 42068898 45973926 60905718 63103347 68960889 82254114 91358577 123381171 126206694 137921778 182717154 189310041 226704617 246762342 274075731 306168091 370143513 378620082 443258281 453409234 548151462 612336182 680113851 740287026 886516562 918504273 1329774843 1360227702 1837008546 2040341553 2659549686 2755512819 3989324529 4080683106 5511025638 6121024659 7978649058 8266538457 11967973587 12242049318 16533076914 18363073977 23935947174 24799615371 29698304827 35903920761 36726147954 49599230742 59396609654 71807841522 89094914481 178189828962 267284743443 534569486886 801854230329 1603708460658 2405562690987 4811125381974