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172193934952 = 231323417972203
BaseRepresentation
bin1010000001011110001…
…1101110111001101000
3121110110111021020002101
42200113203232321220
510310123121404302
6211034345343144
715304061203654
oct2402743567150
9543414236071
10172193934952
1167032a94a56
1229457497ab4
1313312643c50
1484971b5a64
15472c26a287
hex28178eee68

172193934952 has 128 divisors (see below), whose sum is σ = 372301090560. Its totient is φ = 74037934080.

The previous prime is 172193934947. The next prime is 172193934959. The reversal of 172193934952 is 259439391271.

172193934952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 172193934893 and 172193934902.

It is not an unprimeable number, because it can be changed into a prime (172193934959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78162283 + ... + 78164485.

It is an arithmetic number, because the mean of its divisors is an integer number (2908602270).

Almost surely, 2172193934952 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 172193934952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186150545280).

172193934952 is an abundant number, since it is smaller than the sum of its proper divisors (200107155608).

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

172193934952 is a wasteful number, since it uses less digits than its factorization.

172193934952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3079 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 55.

The spelling of 172193934952 in words is "one hundred seventy-two billion, one hundred ninety-three million, nine hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 41 46 52 82 92 104 164 184 299 328 533 598 797 943 1066 1196 1594 1886 2132 2203 2392 3188 3772 4264 4406 6376 7544 8812 10361 12259 17624 18331 20722 24518 28639 32677 36662 41444 49036 50669 57278 65354 73324 82888 90323 98072 101338 114556 130708 146648 180646 202676 229112 238303 261416 361292 405352 424801 476606 658697 722584 751571 849602 953212 1174199 1317394 1503142 1699204 1755791 1906424 2077429 2348398 2634788 3006284 3398408 3511582 4154858 4696796 5269576 6012568 7023164 8309716 9393592 9770423 14046328 16619432 19540846 22825283 27006577 39081692 40383193 45650566 54013154 71987431 78163384 80766386 91301132 108026308 143974862 161532772 182602264 216052616 287949724 323065544 524981509 575899448 935836603 1049963018 1655710913 1871673206 2099926036 3311421826 3743346412 4199852072 6622843652 7486692824 13245687304 21524241869 43048483738 86096967476 172193934952