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1019129514172 = 22711131193130873
BaseRepresentation
bin11101101010010001101…
…10100100100010111100
310121102112212222102122221
432311020312210202330
5113144134123423142
62100103122215124
7133425656640250
oct16651066444274
93542485872587
101019129514172
11363235051040
121456204b44a4
13751465118b3
143747cc96260
151b79ad85767
hexed48da48bc

1019129514172 has 96 divisors (see below), whose sum is σ = 2252155175424. Its totient is φ = 391987814400.

The previous prime is 1019129514047. The next prime is 1019129514173. The reversal of 1019129514172 is 2714159219101.

1019129514172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019129514173) 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, 7721728 + ... + 7852600.

It is an arithmetic number, because the mean of its divisors is an integer number (23459949744).

Almost surely, 21019129514172 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 1019129514172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126077587712).

1019129514172 is an abundant number, since it is smaller than the sum of its proper divisors (1233025661252).

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

1019129514172 is a wasteful number, since it uses less digits than its factorization.

1019129514172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131219 (or 131217 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 43.

The spelling of 1019129514172 in words is "one trillion, nineteen billion, one hundred twenty-nine million, five hundred fourteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 193 262 308 386 524 772 917 1351 1441 1834 2123 2702 2882 3668 4246 5404 5764 8492 10087 14861 20174 25283 29722 40348 50566 59444 101132 130873 176981 261746 278113 353962 523492 556226 707924 916111 1112452 1439603 1832222 1946791 2879206 3664444 3893582 5758412 7787164 10077221 17144363 20154442 25258489 34288726 40308884 50516978 68577452 101033956 120010541 176809423 188587993 240021082 277843379 353618846 377175986 480042164 555686758 707237692 754351972 1111373516 1320115951 1944903653 2640231902 3308862059 3889807306 5280463804 6617724118 7779614612 13235448236 23162034413 36397482649 46324068826 72794965298 92648137652 145589930596 254782378543 509564757086 1019129514172